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Finding the Fourth Proportional to 2,497.47, 3,447.68 and 1,449.33

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Solution

The fourth proportional to 2,497.47, 3,447.68 and 1,449.33 is: 2,000.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.47 : 3,447.68 = 1,449.33 : x
  2. Step 2: Convert to fraction form
    2,497.47/3,447.68 = 1,449.33/x
  3. Step 3: Cross multiply
    2,497.47x = 3,447.68 × 1,449.33
  4. Step 4: Simplify right side
    2,497.47x = 4,996,818.81
  5. Step 5: Solve for x
    x = 4,996,818.81/2,497.47
  6. Step 6: Final answer
    x = 2,000.75

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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.