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Finding the Fourth Proportional to 2,732.02, 4,098.01 and 784.23

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Solution

The fourth proportional to 2,732.02, 4,098.01 and 784.23 is: 1,176.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.02 : 4,098.01 = 784.23 : x
  2. Step 2: Convert to fraction form
    2,732.02/4,098.01 = 784.23/x
  3. Step 3: Cross multiply
    2,732.02x = 4,098.01 × 784.23
  4. Step 4: Simplify right side
    2,732.02x = 3,213,782.38
  5. Step 5: Solve for x
    x = 3,213,782.38/2,732.02
  6. Step 6: Final answer
    x = 1,176.34

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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.