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Finding the Fourth Proportional to 1,339.84, 1,849.80 and 868.16

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Solution

The fourth proportional to 1,339.84, 1,849.80 and 868.16 is: 1,198.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.84 : 1,849.80 = 868.16 : x
  2. Step 2: Convert to fraction form
    1,339.84/1,849.80 = 868.16/x
  3. Step 3: Cross multiply
    1,339.84x = 1,849.80 × 868.16
  4. Step 4: Simplify right side
    1,339.84x = 1,605,922.37
  5. Step 5: Solve for x
    x = 1,605,922.37/1,339.84
  6. Step 6: Final answer
    x = 1,198.59

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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.