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Finding the Fourth Proportional to 2,340.59, 3,508.70 and 1,229.76

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Solution

The fourth proportional to 2,340.59, 3,508.70 and 1,229.76 is: 1,843.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.59 : 3,508.70 = 1,229.76 : x
  2. Step 2: Convert to fraction form
    2,340.59/3,508.70 = 1,229.76/x
  3. Step 3: Cross multiply
    2,340.59x = 3,508.70 × 1,229.76
  4. Step 4: Simplify right side
    2,340.59x = 4,314,852.76
  5. Step 5: Solve for x
    x = 4,314,852.76/2,340.59
  6. Step 6: Final answer
    x = 1,843.49

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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.