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Finding the Fourth Proportional to 1,326.10, 1,974.71 and 1,311.54

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Solution

The fourth proportional to 1,326.10, 1,974.71 and 1,311.54 is: 1,953.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.10 : 1,974.71 = 1,311.54 : x
  2. Step 2: Convert to fraction form
    1,326.10/1,974.71 = 1,311.54/x
  3. Step 3: Cross multiply
    1,326.10x = 1,974.71 × 1,311.54
  4. Step 4: Simplify right side
    1,326.10x = 2,589,898.72
  5. Step 5: Solve for x
    x = 2,589,898.72/1,326.10
  6. Step 6: Final answer
    x = 1,953.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.