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Finding the Fourth Proportional to 2,470.96, 3,710.13 and 1,552.33

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Solution

The fourth proportional to 2,470.96, 3,710.13 and 1,552.33 is: 2,330.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.96 : 3,710.13 = 1,552.33 : x
  2. Step 2: Convert to fraction form
    2,470.96/3,710.13 = 1,552.33/x
  3. Step 3: Cross multiply
    2,470.96x = 3,710.13 × 1,552.33
  4. Step 4: Simplify right side
    2,470.96x = 5,759,346.10
  5. Step 5: Solve for x
    x = 5,759,346.10/2,470.96
  6. Step 6: Final answer
    x = 2,330.81

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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.