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Finding the Fourth Proportional to 2,441.52, 3,368.88 and 1,378.80

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Solution

The fourth proportional to 2,441.52, 3,368.88 and 1,378.80 is: 1,902.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.52 : 3,368.88 = 1,378.80 : x
  2. Step 2: Convert to fraction form
    2,441.52/3,368.88 = 1,378.80/x
  3. Step 3: Cross multiply
    2,441.52x = 3,368.88 × 1,378.80
  4. Step 4: Simplify right side
    2,441.52x = 4,645,011.74
  5. Step 5: Solve for x
    x = 4,645,011.74/2,441.52
  6. Step 6: Final answer
    x = 1,902.51

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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.