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Finding the Fourth Proportional to 1,905.02, 2,630.76 and 1,484.02

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Solution

The fourth proportional to 1,905.02, 2,630.76 and 1,484.02 is: 2,049.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.02 : 2,630.76 = 1,484.02 : x
  2. Step 2: Convert to fraction form
    1,905.02/2,630.76 = 1,484.02/x
  3. Step 3: Cross multiply
    1,905.02x = 2,630.76 × 1,484.02
  4. Step 4: Simplify right side
    1,905.02x = 3,904,100.46
  5. Step 5: Solve for x
    x = 3,904,100.46/1,905.02
  6. Step 6: Final answer
    x = 2,049.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.