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Finding the Fourth Proportional to 2,577.88, 3,860.64 and 1,478.92

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Solution

The fourth proportional to 2,577.88, 3,860.64 and 1,478.92 is: 2,214.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.88 : 3,860.64 = 1,478.92 : x
  2. Step 2: Convert to fraction form
    2,577.88/3,860.64 = 1,478.92/x
  3. Step 3: Cross multiply
    2,577.88x = 3,860.64 × 1,478.92
  4. Step 4: Simplify right side
    2,577.88x = 5,709,577.71
  5. Step 5: Solve for x
    x = 5,709,577.71/2,577.88
  6. Step 6: Final answer
    x = 2,214.83

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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.