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Finding the Fourth Proportional to 1,952.69, 2,929.49 and 654.13

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Solution

The fourth proportional to 1,952.69, 2,929.49 and 654.13 is: 981.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.69 : 2,929.49 = 654.13 : x
  2. Step 2: Convert to fraction form
    1,952.69/2,929.49 = 654.13/x
  3. Step 3: Cross multiply
    1,952.69x = 2,929.49 × 654.13
  4. Step 4: Simplify right side
    1,952.69x = 1,916,249.38
  5. Step 5: Solve for x
    x = 1,916,249.38/1,952.69
  6. Step 6: Final answer
    x = 981.34

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