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Finding the Fourth Proportional to 2,585.80, 3,872.10 and 2,371.96

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Solution

The fourth proportional to 2,585.80, 3,872.10 and 2,371.96 is: 3,551.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.80 : 3,872.10 = 2,371.96 : x
  2. Step 2: Convert to fraction form
    2,585.80/3,872.10 = 2,371.96/x
  3. Step 3: Cross multiply
    2,585.80x = 3,872.10 × 2,371.96
  4. Step 4: Simplify right side
    2,585.80x = 9,184,466.32
  5. Step 5: Solve for x
    x = 9,184,466.32/2,585.80
  6. Step 6: Final answer
    x = 3,551.89

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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.