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Finding the Fourth Proportional to 2,414.07, 3,622.94 and 1,592.07

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Solution

The fourth proportional to 2,414.07, 3,622.94 and 1,592.07 is: 2,389.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.07 : 3,622.94 = 1,592.07 : x
  2. Step 2: Convert to fraction form
    2,414.07/3,622.94 = 1,592.07/x
  3. Step 3: Cross multiply
    2,414.07x = 3,622.94 × 1,592.07
  4. Step 4: Simplify right side
    2,414.07x = 5,767,966.13
  5. Step 5: Solve for x
    x = 5,767,966.13/2,414.07
  6. Step 6: Final answer
    x = 2,389.31

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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.