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Finding the Fourth Proportional to 1,339.32, 1,991.67 and 1,324.92

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Solution

The fourth proportional to 1,339.32, 1,991.67 and 1,324.92 is: 1,970.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.32 : 1,991.67 = 1,324.92 : x
  2. Step 2: Convert to fraction form
    1,339.32/1,991.67 = 1,324.92/x
  3. Step 3: Cross multiply
    1,339.32x = 1,991.67 × 1,324.92
  4. Step 4: Simplify right side
    1,339.32x = 2,638,803.42
  5. Step 5: Solve for x
    x = 2,638,803.42/1,339.32
  6. Step 6: Final answer
    x = 1,970.26

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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.