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Finding the Fourth Proportional to 1,840.41, 2,761.34 and 686.25

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Solution

The fourth proportional to 1,840.41, 2,761.34 and 686.25 is: 1,029.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.41 : 2,761.34 = 686.25 : x
  2. Step 2: Convert to fraction form
    1,840.41/2,761.34 = 686.25/x
  3. Step 3: Cross multiply
    1,840.41x = 2,761.34 × 686.25
  4. Step 4: Simplify right side
    1,840.41x = 1,894,966.14
  5. Step 5: Solve for x
    x = 1,894,966.14/1,840.41
  6. Step 6: Final answer
    x = 1,029.64

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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.