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Finding the Fourth Proportional to 2,470.84, 3,707.26 and 1,010.14

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Solution

The fourth proportional to 2,470.84, 3,707.26 and 1,010.14 is: 1,515.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.84 : 3,707.26 = 1,010.14 : x
  2. Step 2: Convert to fraction form
    2,470.84/3,707.26 = 1,010.14/x
  3. Step 3: Cross multiply
    2,470.84x = 3,707.26 × 1,010.14
  4. Step 4: Simplify right side
    2,470.84x = 3,744,839.82
  5. Step 5: Solve for x
    x = 3,744,839.82/2,470.84
  6. Step 6: Final answer
    x = 1,515.62

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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.