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Finding the Fourth Proportional to 2,407.68, 3,619.76 and 2,227.32

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Solution

The fourth proportional to 2,407.68, 3,619.76 and 2,227.32 is: 3,348.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.68 : 3,619.76 = 2,227.32 : x
  2. Step 2: Convert to fraction form
    2,407.68/3,619.76 = 2,227.32/x
  3. Step 3: Cross multiply
    2,407.68x = 3,619.76 × 2,227.32
  4. Step 4: Simplify right side
    2,407.68x = 8,062,352.71
  5. Step 5: Solve for x
    x = 8,062,352.71/2,407.68
  6. Step 6: Final answer
    x = 3,348.60

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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.