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Finding the Fourth Proportional to 1,592.52, 2,197.17 and 893.76

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Solution

The fourth proportional to 1,592.52, 2,197.17 and 893.76 is: 1,233.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.52 : 2,197.17 = 893.76 : x
  2. Step 2: Convert to fraction form
    1,592.52/2,197.17 = 893.76/x
  3. Step 3: Cross multiply
    1,592.52x = 2,197.17 × 893.76
  4. Step 4: Simplify right side
    1,592.52x = 1,963,742.66
  5. Step 5: Solve for x
    x = 1,963,742.66/1,592.52
  6. Step 6: Final answer
    x = 1,233.10

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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.