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Finding the Fourth Proportional to 2,577.68, 3,868.32 and 1,117.84

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Solution

The fourth proportional to 2,577.68, 3,868.32 and 1,117.84 is: 1,677.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.68 : 3,868.32 = 1,117.84 : x
  2. Step 2: Convert to fraction form
    2,577.68/3,868.32 = 1,117.84/x
  3. Step 3: Cross multiply
    2,577.68x = 3,868.32 × 1,117.84
  4. Step 4: Simplify right side
    2,577.68x = 4,324,162.83
  5. Step 5: Solve for x
    x = 4,324,162.83/2,577.68
  6. Step 6: Final answer
    x = 1,677.54

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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.