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Finding the Fourth Proportional to 2,619.34, 3,926.58 and 886.78

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Solution

The fourth proportional to 2,619.34, 3,926.58 and 886.78 is: 1,329.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.34 : 3,926.58 = 886.78 : x
  2. Step 2: Convert to fraction form
    2,619.34/3,926.58 = 886.78/x
  3. Step 3: Cross multiply
    2,619.34x = 3,926.58 × 886.78
  4. Step 4: Simplify right side
    2,619.34x = 3,482,012.61
  5. Step 5: Solve for x
    x = 3,482,012.61/2,619.34
  6. Step 6: Final answer
    x = 1,329.35

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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.