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Finding the Fourth Proportional to 2,726.84, 4,090.92 and 878.13

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Solution

The fourth proportional to 2,726.84, 4,090.92 and 878.13 is: 1,317.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.84 : 4,090.92 = 878.13 : x
  2. Step 2: Convert to fraction form
    2,726.84/4,090.92 = 878.13/x
  3. Step 3: Cross multiply
    2,726.84x = 4,090.92 × 878.13
  4. Step 4: Simplify right side
    2,726.84x = 3,592,355.19
  5. Step 5: Solve for x
    x = 3,592,355.19/2,726.84
  6. Step 6: Final answer
    x = 1,317.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.