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Finding the Fourth Proportional to 2,497.80, 3,746.70 and 2,481.60

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Solution

The fourth proportional to 2,497.80, 3,746.70 and 2,481.60 is: 3,722.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.80 : 3,746.70 = 2,481.60 : x
  2. Step 2: Convert to fraction form
    2,497.80/3,746.70 = 2,481.60/x
  3. Step 3: Cross multiply
    2,497.80x = 3,746.70 × 2,481.60
  4. Step 4: Simplify right side
    2,497.80x = 9,297,810.72
  5. Step 5: Solve for x
    x = 9,297,810.72/2,497.80
  6. Step 6: Final answer
    x = 3,722.40

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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.