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Finding the Fourth Proportional to 1,376.15, 2,064.42 and 855.72

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Solution

The fourth proportional to 1,376.15, 2,064.42 and 855.72 is: 1,283.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.15 : 2,064.42 = 855.72 : x
  2. Step 2: Convert to fraction form
    1,376.15/2,064.42 = 855.72/x
  3. Step 3: Cross multiply
    1,376.15x = 2,064.42 × 855.72
  4. Step 4: Simplify right side
    1,376.15x = 1,766,565.48
  5. Step 5: Solve for x
    x = 1,766,565.48/1,376.15
  6. Step 6: Final answer
    x = 1,283.71

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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.