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Finding the Fourth Proportional to 2,432.49, 3,649.68 and 972.06

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Solution

The fourth proportional to 2,432.49, 3,649.68 and 972.06 is: 1,458.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.49 : 3,649.68 = 972.06 : x
  2. Step 2: Convert to fraction form
    2,432.49/3,649.68 = 972.06/x
  3. Step 3: Cross multiply
    2,432.49x = 3,649.68 × 972.06
  4. Step 4: Simplify right side
    2,432.49x = 3,547,707.94
  5. Step 5: Solve for x
    x = 3,547,707.94/2,432.49
  6. Step 6: Final answer
    x = 1,458.47

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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.