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Finding the Fourth Proportional to 1,595.29, 2,201.41 and 932.17

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Solution

The fourth proportional to 1,595.29, 2,201.41 and 932.17 is: 1,286.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.29 : 2,201.41 = 932.17 : x
  2. Step 2: Convert to fraction form
    1,595.29/2,201.41 = 932.17/x
  3. Step 3: Cross multiply
    1,595.29x = 2,201.41 × 932.17
  4. Step 4: Simplify right side
    1,595.29x = 2,052,088.36
  5. Step 5: Solve for x
    x = 2,052,088.36/1,595.29
  6. Step 6: Final answer
    x = 1,286.34

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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.