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Finding the Fourth Proportional to 2,577.71, 3,866.66 and 2,184.05

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Solution

The fourth proportional to 2,577.71, 3,866.66 and 2,184.05 is: 3,276.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.71 : 3,866.66 = 2,184.05 : x
  2. Step 2: Convert to fraction form
    2,577.71/3,866.66 = 2,184.05/x
  3. Step 3: Cross multiply
    2,577.71x = 3,866.66 × 2,184.05
  4. Step 4: Simplify right side
    2,577.71x = 8,444,978.77
  5. Step 5: Solve for x
    x = 8,444,978.77/2,577.71
  6. Step 6: Final answer
    x = 3,276.16

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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.