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Finding the Fourth Proportional to 1,592.57, 2,197.76 and 893.95

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Solution

The fourth proportional to 1,592.57, 2,197.76 and 893.95 is: 1,233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.57 : 2,197.76 = 893.95 : x
  2. Step 2: Convert to fraction form
    1,592.57/2,197.76 = 893.95/x
  3. Step 3: Cross multiply
    1,592.57x = 2,197.76 × 893.95
  4. Step 4: Simplify right side
    1,592.57x = 1,964,687.55
  5. Step 5: Solve for x
    x = 1,964,687.55/1,592.57
  6. Step 6: Final answer
    x = 1,233.66

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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.