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Finding the Fourth Proportional to 1,641.33, 2,265.26 and 978.17

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Solution

The fourth proportional to 1,641.33, 2,265.26 and 978.17 is: 1,350.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.33 : 2,265.26 = 978.17 : x
  2. Step 2: Convert to fraction form
    1,641.33/2,265.26 = 978.17/x
  3. Step 3: Cross multiply
    1,641.33x = 2,265.26 × 978.17
  4. Step 4: Simplify right side
    1,641.33x = 2,215,793.16
  5. Step 5: Solve for x
    x = 2,215,793.16/1,641.33
  6. Step 6: Final answer
    x = 1,350.00

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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.