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Finding the Fourth Proportional to 1,876.16, 2,589.28 and 1,089.92

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Solution

The fourth proportional to 1,876.16, 2,589.28 and 1,089.92 is: 1,504.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.16 : 2,589.28 = 1,089.92 : x
  2. Step 2: Convert to fraction form
    1,876.16/2,589.28 = 1,089.92/x
  3. Step 3: Cross multiply
    1,876.16x = 2,589.28 × 1,089.92
  4. Step 4: Simplify right side
    1,876.16x = 2,822,108.06
  5. Step 5: Solve for x
    x = 2,822,108.06/1,876.16
  6. Step 6: Final answer
    x = 1,504.19

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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.