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Finding the Fourth Proportional to 1,595.78, 2,202.10 and 932.66

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Solution

The fourth proportional to 1,595.78, 2,202.10 and 932.66 is: 1,287.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.78 : 2,202.10 = 932.66 : x
  2. Step 2: Convert to fraction form
    1,595.78/2,202.10 = 932.66/x
  3. Step 3: Cross multiply
    1,595.78x = 2,202.10 × 932.66
  4. Step 4: Simplify right side
    1,595.78x = 2,053,810.59
  5. Step 5: Solve for x
    x = 2,053,810.59/1,595.78
  6. Step 6: Final answer
    x = 1,287.03

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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.