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Finding the Fourth Proportional to 1,648.24, 2,470.25 and 723.56

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Solution

The fourth proportional to 1,648.24, 2,470.25 and 723.56 is: 1,084.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.24 : 2,470.25 = 723.56 : x
  2. Step 2: Convert to fraction form
    1,648.24/2,470.25 = 723.56/x
  3. Step 3: Cross multiply
    1,648.24x = 2,470.25 × 723.56
  4. Step 4: Simplify right side
    1,648.24x = 1,787,363.55
  5. Step 5: Solve for x
    x = 1,787,363.55/1,648.24
  6. Step 6: Final answer
    x = 1,084.41

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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.