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Finding the Fourth Proportional to 2,374.80, 3,562.20 and 1,279.68

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Solution

The fourth proportional to 2,374.80, 3,562.20 and 1,279.68 is: 1,919.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.80 : 3,562.20 = 1,279.68 : x
  2. Step 2: Convert to fraction form
    2,374.80/3,562.20 = 1,279.68/x
  3. Step 3: Cross multiply
    2,374.80x = 3,562.20 × 1,279.68
  4. Step 4: Simplify right side
    2,374.80x = 4,558,476.10
  5. Step 5: Solve for x
    x = 4,558,476.10/2,374.80
  6. Step 6: Final answer
    x = 1,919.52

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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.