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Finding the Fourth Proportional to 1,449.31, 2,000.04 and 786.17

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Solution

The fourth proportional to 1,449.31, 2,000.04 and 786.17 is: 1,084.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.31 : 2,000.04 = 786.17 : x
  2. Step 2: Convert to fraction form
    1,449.31/2,000.04 = 786.17/x
  3. Step 3: Cross multiply
    1,449.31x = 2,000.04 × 786.17
  4. Step 4: Simplify right side
    1,449.31x = 1,572,371.45
  5. Step 5: Solve for x
    x = 1,572,371.45/1,449.31
  6. Step 6: Final answer
    x = 1,084.91

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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.