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Finding the Fourth Proportional to 2,407.92, 3,608.23 and 1,788.74

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Solution

The fourth proportional to 2,407.92, 3,608.23 and 1,788.74 is: 2,680.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.92 : 3,608.23 = 1,788.74 : x
  2. Step 2: Convert to fraction form
    2,407.92/3,608.23 = 1,788.74/x
  3. Step 3: Cross multiply
    2,407.92x = 3,608.23 × 1,788.74
  4. Step 4: Simplify right side
    2,407.92x = 6,454,185.33
  5. Step 5: Solve for x
    x = 6,454,185.33/2,407.92
  6. Step 6: Final answer
    x = 2,680.40

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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.