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Finding the Fourth Proportional to 2,378.61, 3,282.44 and 1,330.65

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Solution

The fourth proportional to 2,378.61, 3,282.44 and 1,330.65 is: 1,836.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.61 : 3,282.44 = 1,330.65 : x
  2. Step 2: Convert to fraction form
    2,378.61/3,282.44 = 1,330.65/x
  3. Step 3: Cross multiply
    2,378.61x = 3,282.44 × 1,330.65
  4. Step 4: Simplify right side
    2,378.61x = 4,367,772.13
  5. Step 5: Solve for x
    x = 4,367,772.13/2,378.61
  6. Step 6: Final answer
    x = 1,836.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.