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Finding the Fourth Proportional to 1,842.40, 2,555.14 and 1,686.70

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Solution

The fourth proportional to 1,842.40, 2,555.14 and 1,686.70 is: 2,339.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.40 : 2,555.14 = 1,686.70 : x
  2. Step 2: Convert to fraction form
    1,842.40/2,555.14 = 1,686.70/x
  3. Step 3: Cross multiply
    1,842.40x = 2,555.14 × 1,686.70
  4. Step 4: Simplify right side
    1,842.40x = 4,309,757.18
  5. Step 5: Solve for x
    x = 4,309,757.18/1,842.40
  6. Step 6: Final answer
    x = 2,339.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.