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Finding the Fourth Proportional to 1,376.61, 2,068.49 and 1,286.62

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Solution

The fourth proportional to 1,376.61, 2,068.49 and 1,286.62 is: 1,933.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.61 : 2,068.49 = 1,286.62 : x
  2. Step 2: Convert to fraction form
    1,376.61/2,068.49 = 1,286.62/x
  3. Step 3: Cross multiply
    1,376.61x = 2,068.49 × 1,286.62
  4. Step 4: Simplify right side
    1,376.61x = 2,661,366.41
  5. Step 5: Solve for x
    x = 2,661,366.41/1,376.61
  6. Step 6: Final answer
    x = 1,933.28

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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.