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Finding the Fourth Proportional to 2,116.49, 2,920.42 and 1,232.13

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Solution

The fourth proportional to 2,116.49, 2,920.42 and 1,232.13 is: 1,700.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.49 : 2,920.42 = 1,232.13 : x
  2. Step 2: Convert to fraction form
    2,116.49/2,920.42 = 1,232.13/x
  3. Step 3: Cross multiply
    2,116.49x = 2,920.42 × 1,232.13
  4. Step 4: Simplify right side
    2,116.49x = 3,598,337.09
  5. Step 5: Solve for x
    x = 3,598,337.09/2,116.49
  6. Step 6: Final answer
    x = 1,700.14

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