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Finding the Fourth Proportional to 1,378.80, 2,064.96 and 1,068.18

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Solution

The fourth proportional to 1,378.80, 2,064.96 and 1,068.18 is: 1,599.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.80 : 2,064.96 = 1,068.18 : x
  2. Step 2: Convert to fraction form
    1,378.80/2,064.96 = 1,068.18/x
  3. Step 3: Cross multiply
    1,378.80x = 2,064.96 × 1,068.18
  4. Step 4: Simplify right side
    1,378.80x = 2,205,748.97
  5. Step 5: Solve for x
    x = 2,205,748.97/1,378.80
  6. Step 6: Final answer
    x = 1,599.76

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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.