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Finding the Fourth Proportional to 2,497.58, 3,446.40 and 1,449.86

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Solution

The fourth proportional to 2,497.58, 3,446.40 and 1,449.86 is: 2,000.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.58 : 3,446.40 = 1,449.86 : x
  2. Step 2: Convert to fraction form
    2,497.58/3,446.40 = 1,449.86/x
  3. Step 3: Cross multiply
    2,497.58x = 3,446.40 × 1,449.86
  4. Step 4: Simplify right side
    2,497.58x = 4,996,797.50
  5. Step 5: Solve for x
    x = 4,996,797.50/2,497.58
  6. Step 6: Final answer
    x = 2,000.66

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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.