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Finding the Fourth Proportional to 2,471.85, 3,411.83 and 1,527.50

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Solution

The fourth proportional to 2,471.85, 3,411.83 and 1,527.50 is: 2,108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.85 : 3,411.83 = 1,527.50 : x
  2. Step 2: Convert to fraction form
    2,471.85/3,411.83 = 1,527.50/x
  3. Step 3: Cross multiply
    2,471.85x = 3,411.83 × 1,527.50
  4. Step 4: Simplify right side
    2,471.85x = 5,211,545.63
  5. Step 5: Solve for x
    x = 5,211,545.63/2,471.85
  6. Step 6: Final answer
    x = 2,108.36

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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.