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Finding the Fourth Proportional to 2,577.60, 3,860.64 and 2,184.48

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Solution

The fourth proportional to 2,577.60, 3,860.64 and 2,184.48 is: 3,271.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.60 : 3,860.64 = 2,184.48 : x
  2. Step 2: Convert to fraction form
    2,577.60/3,860.64 = 2,184.48/x
  3. Step 3: Cross multiply
    2,577.60x = 3,860.64 × 2,184.48
  4. Step 4: Simplify right side
    2,577.60x = 8,433,490.87
  5. Step 5: Solve for x
    x = 8,433,490.87/2,577.60
  6. Step 6: Final answer
    x = 3,271.84

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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.