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Finding the Fourth Proportional to 2,414.57, 3,332.07 and 1,420.43

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Solution

The fourth proportional to 2,414.57, 3,332.07 and 1,420.43 is: 1,960.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.57 : 3,332.07 = 1,420.43 : x
  2. Step 2: Convert to fraction form
    2,414.57/3,332.07 = 1,420.43/x
  3. Step 3: Cross multiply
    2,414.57x = 3,332.07 × 1,420.43
  4. Step 4: Simplify right side
    2,414.57x = 4,732,955.53
  5. Step 5: Solve for x
    x = 4,732,955.53/2,414.57
  6. Step 6: Final answer
    x = 1,960.17

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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.