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Finding the Fourth Proportional to 2,494.70, 3,746.10 and 1,806.20

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Solution

The fourth proportional to 2,494.70, 3,746.10 and 1,806.20 is: 2,712.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.70 : 3,746.10 = 1,806.20 : x
  2. Step 2: Convert to fraction form
    2,494.70/3,746.10 = 1,806.20/x
  3. Step 3: Cross multiply
    2,494.70x = 3,746.10 × 1,806.20
  4. Step 4: Simplify right side
    2,494.70x = 6,766,205.82
  5. Step 5: Solve for x
    x = 6,766,205.82/2,494.70
  6. Step 6: Final answer
    x = 2,712.23

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1.5x scale

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.