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Finding the Fourth Proportional to 2,087.92, 2,881.29 and 1,156.42

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Solution

The fourth proportional to 2,087.92, 2,881.29 and 1,156.42 is: 1,595.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.92 : 2,881.29 = 1,156.42 : x
  2. Step 2: Convert to fraction form
    2,087.92/2,881.29 = 1,156.42/x
  3. Step 3: Cross multiply
    2,087.92x = 2,881.29 × 1,156.42
  4. Step 4: Simplify right side
    2,087.92x = 3,331,981.38
  5. Step 5: Solve for x
    x = 3,331,981.38/2,087.92
  6. Step 6: Final answer
    x = 1,595.84

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Why These Related Problems?

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