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Finding the Fourth Proportional to 1,648.38, 2,471.70 and 723.45

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Solution

The fourth proportional to 1,648.38, 2,471.70 and 723.45 is: 1,084.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.38 : 2,471.70 = 723.45 : x
  2. Step 2: Convert to fraction form
    1,648.38/2,471.70 = 723.45/x
  3. Step 3: Cross multiply
    1,648.38x = 2,471.70 × 723.45
  4. Step 4: Simplify right side
    1,648.38x = 1,788,151.37
  5. Step 5: Solve for x
    x = 1,788,151.37/1,648.38
  6. Step 6: Final answer
    x = 1,084.79

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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.