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Finding the Fourth Proportional to 2,577.58, 3,864.07 and 1,116.22

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Solution

The fourth proportional to 2,577.58, 3,864.07 and 1,116.22 is: 1,673.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.58 : 3,864.07 = 1,116.22 : x
  2. Step 2: Convert to fraction form
    2,577.58/3,864.07 = 1,116.22/x
  3. Step 3: Cross multiply
    2,577.58x = 3,864.07 × 1,116.22
  4. Step 4: Simplify right side
    2,577.58x = 4,313,152.22
  5. Step 5: Solve for x
    x = 4,313,152.22/2,577.58
  6. Step 6: Final answer
    x = 1,673.33

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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.