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Finding the Fourth Proportional to 2,566.96, 3,847.72 and 1,087

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Solution

The fourth proportional to 2,566.96, 3,847.72 and 1,087 is: 1,629.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.96 : 3,847.72 = 1,087 : x
  2. Step 2: Convert to fraction form
    2,566.96/3,847.72 = 1,087/x
  3. Step 3: Cross multiply
    2,566.96x = 3,847.72 × 1,087
  4. Step 4: Simplify right side
    2,566.96x = 4,182,471.64
  5. Step 5: Solve for x
    x = 4,182,471.64/2,566.96
  6. Step 6: Final answer
    x = 1,629.35

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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.