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Finding the Fourth Proportional to 1,867.92, 2,577.36 and 1,589.28

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Solution

The fourth proportional to 1,867.92, 2,577.36 and 1,589.28 is: 2,192.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.92 : 2,577.36 = 1,589.28 : x
  2. Step 2: Convert to fraction form
    1,867.92/2,577.36 = 1,589.28/x
  3. Step 3: Cross multiply
    1,867.92x = 2,577.36 × 1,589.28
  4. Step 4: Simplify right side
    1,867.92x = 4,096,146.70
  5. Step 5: Solve for x
    x = 4,096,146.70/1,867.92
  6. Step 6: Final answer
    x = 2,192.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.