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Finding the Fourth Proportional to 4,464.74, 6,697.17 and 1,344.89

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Solution

The fourth proportional to 4,464.74, 6,697.17 and 1,344.89 is: 2,017.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464.74 : 6,697.17 = 1,344.89 : x
  2. Step 2: Convert to fraction form
    4,464.74/6,697.17 = 1,344.89/x
  3. Step 3: Cross multiply
    4,464.74x = 6,697.17 × 1,344.89
  4. Step 4: Simplify right side
    4,464.74x = 9,006,923.48
  5. Step 5: Solve for x
    x = 9,006,923.48/4,464.74
  6. Step 6: Final answer
    x = 2,017.35

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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.