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Finding the Fourth Proportional to 1,904,059.44, 2,851,715.16 and 1,600,678.80

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Solution

The fourth proportional to 1,904,059.44, 2,851,715.16 and 1,600,678.80 is: 2,397,341.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904,059.44 : 2,851,715.16 = 1,600,678.80 : x
  2. Step 2: Convert to fraction form
    1,904,059.44/2,851,715.16 = 1,600,678.80/x
  3. Step 3: Cross multiply
    1,904,059.44x = 2,851,715.16 × 1,600,678.80
  4. Step 4: Simplify right side
    1,904,059.44x = 4,564,680,000,250.61
  5. Step 5: Solve for x
    x = 4,564,680,000,250.61/1,904,059.44
  6. Step 6: Final answer
    x = 2,397,341.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.