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Finding the Fourth Proportional to 2,452.92, 3,386.28 and 1,892.13

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Solution

The fourth proportional to 2,452.92, 3,386.28 and 1,892.13 is: 2,612.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.92 : 3,386.28 = 1,892.13 : x
  2. Step 2: Convert to fraction form
    2,452.92/3,386.28 = 1,892.13/x
  3. Step 3: Cross multiply
    2,452.92x = 3,386.28 × 1,892.13
  4. Step 4: Simplify right side
    2,452.92x = 6,407,289.07
  5. Step 5: Solve for x
    x = 6,407,289.07/2,452.92
  6. Step 6: Final answer
    x = 2,612.11

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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.