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Finding the Fourth Proportional to 1,393.44, 2,086.04 and 871.72

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Solution

The fourth proportional to 1,393.44, 2,086.04 and 871.72 is: 1,305.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.44 : 2,086.04 = 871.72 : x
  2. Step 2: Convert to fraction form
    1,393.44/2,086.04 = 871.72/x
  3. Step 3: Cross multiply
    1,393.44x = 2,086.04 × 871.72
  4. Step 4: Simplify right side
    1,393.44x = 1,818,442.79
  5. Step 5: Solve for x
    x = 1,818,442.79/1,393.44
  6. Step 6: Final answer
    x = 1,305.00

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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.