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Finding the Fourth Proportional to 2,746.90, 4,117.92 and 2,481.22

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Solution

The fourth proportional to 2,746.90, 4,117.92 and 2,481.22 is: 3,719.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.90 : 4,117.92 = 2,481.22 : x
  2. Step 2: Convert to fraction form
    2,746.90/4,117.92 = 2,481.22/x
  3. Step 3: Cross multiply
    2,746.90x = 4,117.92 × 2,481.22
  4. Step 4: Simplify right side
    2,746.90x = 10,217,465.46
  5. Step 5: Solve for x
    x = 10,217,465.46/2,746.90
  6. Step 6: Final answer
    x = 3,719.64

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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.