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Finding the Fourth Proportional to 2,497.76, 3,446.52 and 1,449.64

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Solution

The fourth proportional to 2,497.76, 3,446.52 and 1,449.64 is: 2,000.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.76 : 3,446.52 = 1,449.64 : x
  2. Step 2: Convert to fraction form
    2,497.76/3,446.52 = 1,449.64/x
  3. Step 3: Cross multiply
    2,497.76x = 3,446.52 × 1,449.64
  4. Step 4: Simplify right side
    2,497.76x = 4,996,213.25
  5. Step 5: Solve for x
    x = 4,996,213.25/2,497.76
  6. Step 6: Final answer
    x = 2,000.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.