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Finding the Fourth Proportional to 1,391.70, 2,078.91 and 1,118.33

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Solution

The fourth proportional to 1,391.70, 2,078.91 and 1,118.33 is: 1,670.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.70 : 2,078.91 = 1,118.33 : x
  2. Step 2: Convert to fraction form
    1,391.70/2,078.91 = 1,118.33/x
  3. Step 3: Cross multiply
    1,391.70x = 2,078.91 × 1,118.33
  4. Step 4: Simplify right side
    1,391.70x = 2,324,907.42
  5. Step 5: Solve for x
    x = 2,324,907.42/1,391.70
  6. Step 6: Final answer
    x = 1,670.55

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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.