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Finding the Fourth Proportional to 2,471.34, 3,705.26 and 1,237.87

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Solution

The fourth proportional to 2,471.34, 3,705.26 and 1,237.87 is: 1,855.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.34 : 3,705.26 = 1,237.87 : x
  2. Step 2: Convert to fraction form
    2,471.34/3,705.26 = 1,237.87/x
  3. Step 3: Cross multiply
    2,471.34x = 3,705.26 × 1,237.87
  4. Step 4: Simplify right side
    2,471.34x = 4,586,630.20
  5. Step 5: Solve for x
    x = 4,586,630.20/2,471.34
  6. Step 6: Final answer
    x = 1,855.93

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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.