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Finding the Fourth Proportional to 1,952.78, 2,929.10 and 654.21

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Solution

The fourth proportional to 1,952.78, 2,929.10 and 654.21 is: 981.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.78 : 2,929.10 = 654.21 : x
  2. Step 2: Convert to fraction form
    1,952.78/2,929.10 = 654.21/x
  3. Step 3: Cross multiply
    1,952.78x = 2,929.10 × 654.21
  4. Step 4: Simplify right side
    1,952.78x = 1,916,243.24
  5. Step 5: Solve for x
    x = 1,916,243.24/1,952.78
  6. Step 6: Final answer
    x = 981.29

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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.