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Finding the Fourth Proportional to 2,087.78, 2,881.17 and 1,156.22

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Solution

The fourth proportional to 2,087.78, 2,881.17 and 1,156.22 is: 1,595.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.78 : 2,881.17 = 1,156.22 : x
  2. Step 2: Convert to fraction form
    2,087.78/2,881.17 = 1,156.22/x
  3. Step 3: Cross multiply
    2,087.78x = 2,881.17 × 1,156.22
  4. Step 4: Simplify right side
    2,087.78x = 3,331,266.38
  5. Step 5: Solve for x
    x = 3,331,266.38/2,087.78
  6. Step 6: Final answer
    x = 1,595.60

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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.