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Finding the Fourth Proportional to 1,357.86, 2,036.79 and 871.23

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Solution

The fourth proportional to 1,357.86, 2,036.79 and 871.23 is: 1,306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.86 : 2,036.79 = 871.23 : x
  2. Step 2: Convert to fraction form
    1,357.86/2,036.79 = 871.23/x
  3. Step 3: Cross multiply
    1,357.86x = 2,036.79 × 871.23
  4. Step 4: Simplify right side
    1,357.86x = 1,774,512.55
  5. Step 5: Solve for x
    x = 1,774,512.55/1,357.86
  6. Step 6: Final answer
    x = 1,306.85

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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.