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Finding the Fourth Proportional to 4,568.90, 6,854.58 and 1,449

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Solution

The fourth proportional to 4,568.90, 6,854.58 and 1,449 is: 2,173.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.90 : 6,854.58 = 1,449 : x
  2. Step 2: Convert to fraction form
    4,568.90/6,854.58 = 1,449/x
  3. Step 3: Cross multiply
    4,568.90x = 6,854.58 × 1,449
  4. Step 4: Simplify right side
    4,568.90x = 9,932,286.42
  5. Step 5: Solve for x
    x = 9,932,286.42/4,568.90
  6. Step 6: Final answer
    x = 2,173.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.