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Finding the Fourth Proportional to 1,192, 1,772.88 and 1,167.40

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Solution

The fourth proportional to 1,192, 1,772.88 and 1,167.40 is: 1,736.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192 : 1,772.88 = 1,167.40 : x
  2. Step 2: Convert to fraction form
    1,192/1,772.88 = 1,167.40/x
  3. Step 3: Cross multiply
    1,192x = 1,772.88 × 1,167.40
  4. Step 4: Simplify right side
    1,192x = 2,069,660.11
  5. Step 5: Solve for x
    x = 2,069,660.11/1,192
  6. Step 6: Final answer
    x = 1,736.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.