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Finding the Fourth Proportional to 2,568.59, 3,544.65 and 1,449.53

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Solution

The fourth proportional to 2,568.59, 3,544.65 and 1,449.53 is: 2,000.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.59 : 3,544.65 = 1,449.53 : x
  2. Step 2: Convert to fraction form
    2,568.59/3,544.65 = 1,449.53/x
  3. Step 3: Cross multiply
    2,568.59x = 3,544.65 × 1,449.53
  4. Step 4: Simplify right side
    2,568.59x = 5,138,058.79
  5. Step 5: Solve for x
    x = 5,138,058.79/2,568.59
  6. Step 6: Final answer
    x = 2,000.34

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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.