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Finding the Fourth Proportional to 1,395.78, 1,926.18 and 871.71

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Solution

The fourth proportional to 1,395.78, 1,926.18 and 871.71 is: 1,202.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.78 : 1,926.18 = 871.71 : x
  2. Step 2: Convert to fraction form
    1,395.78/1,926.18 = 871.71/x
  3. Step 3: Cross multiply
    1,395.78x = 1,926.18 × 871.71
  4. Step 4: Simplify right side
    1,395.78x = 1,679,070.37
  5. Step 5: Solve for x
    x = 1,679,070.37/1,395.78
  6. Step 6: Final answer
    x = 1,202.96

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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.