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Finding the Fourth Proportional to 2,378.48, 3,282.12 and 1,330.40

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Solution

The fourth proportional to 2,378.48, 3,282.12 and 1,330.40 is: 1,835.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.48 : 3,282.12 = 1,330.40 : x
  2. Step 2: Convert to fraction form
    2,378.48/3,282.12 = 1,330.40/x
  3. Step 3: Cross multiply
    2,378.48x = 3,282.12 × 1,330.40
  4. Step 4: Simplify right side
    2,378.48x = 4,366,532.45
  5. Step 5: Solve for x
    x = 4,366,532.45/2,378.48
  6. Step 6: Final answer
    x = 1,835.85

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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.