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Finding the Fourth Proportional to 2,471.14, 3,409.17 and 1,475.85

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Solution

The fourth proportional to 2,471.14, 3,409.17 and 1,475.85 is: 2,036.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.14 : 3,409.17 = 1,475.85 : x
  2. Step 2: Convert to fraction form
    2,471.14/3,409.17 = 1,475.85/x
  3. Step 3: Cross multiply
    2,471.14x = 3,409.17 × 1,475.85
  4. Step 4: Simplify right side
    2,471.14x = 5,031,423.54
  5. Step 5: Solve for x
    x = 5,031,423.54/2,471.14
  6. Step 6: Final answer
    x = 2,036.08

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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.