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Finding the Fourth Proportional to 2,517.84, 3,470.57 and 1,710.04

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Solution

The fourth proportional to 2,517.84, 3,470.57 and 1,710.04 is: 2,357.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.84 : 3,470.57 = 1,710.04 : x
  2. Step 2: Convert to fraction form
    2,517.84/3,470.57 = 1,710.04/x
  3. Step 3: Cross multiply
    2,517.84x = 3,470.57 × 1,710.04
  4. Step 4: Simplify right side
    2,517.84x = 5,934,813.52
  5. Step 5: Solve for x
    x = 5,934,813.52/2,517.84
  6. Step 6: Final answer
    x = 2,357.11

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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.