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Finding the Fourth Proportional to 4,180.64, 6,269.68 and 1,444

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Solution

The fourth proportional to 4,180.64, 6,269.68 and 1,444 is: 2,165.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180.64 : 6,269.68 = 1,444 : x
  2. Step 2: Convert to fraction form
    4,180.64/6,269.68 = 1,444/x
  3. Step 3: Cross multiply
    4,180.64x = 6,269.68 × 1,444
  4. Step 4: Simplify right side
    4,180.64x = 9,053,417.92
  5. Step 5: Solve for x
    x = 9,053,417.92/4,180.64
  6. Step 6: Final answer
    x = 2,165.56

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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.