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Finding the Fourth Proportional to 2,577.76, 3,847.54 and 2,515.60

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Solution

The fourth proportional to 2,577.76, 3,847.54 and 2,515.60 is: 3,754.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.76 : 3,847.54 = 2,515.60 : x
  2. Step 2: Convert to fraction form
    2,577.76/3,847.54 = 2,515.60/x
  3. Step 3: Cross multiply
    2,577.76x = 3,847.54 × 2,515.60
  4. Step 4: Simplify right side
    2,577.76x = 9,678,871.62
  5. Step 5: Solve for x
    x = 9,678,871.62/2,577.76
  6. Step 6: Final answer
    x = 3,754.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.