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Finding the Fourth Proportional to 2,378.58, 3,282.57 and 1,330.74

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Solution

The fourth proportional to 2,378.58, 3,282.57 and 1,330.74 is: 1,836.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.58 : 3,282.57 = 1,330.74 : x
  2. Step 2: Convert to fraction form
    2,378.58/3,282.57 = 1,330.74/x
  3. Step 3: Cross multiply
    2,378.58x = 3,282.57 × 1,330.74
  4. Step 4: Simplify right side
    2,378.58x = 4,368,247.20
  5. Step 5: Solve for x
    x = 4,368,247.20/2,378.58
  6. Step 6: Final answer
    x = 1,836.49

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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.