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Finding the Fourth Proportional to 2,087.92, 2,881.20 and 1,156.44

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Solution

The fourth proportional to 2,087.92, 2,881.20 and 1,156.44 is: 1,595.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.92 : 2,881.20 = 1,156.44 : x
  2. Step 2: Convert to fraction form
    2,087.92/2,881.20 = 1,156.44/x
  3. Step 3: Cross multiply
    2,087.92x = 2,881.20 × 1,156.44
  4. Step 4: Simplify right side
    2,087.92x = 3,331,934.93
  5. Step 5: Solve for x
    x = 3,331,934.93/2,087.92
  6. Step 6: Final answer
    x = 1,595.82

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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.