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Finding the Fourth Proportional to 1,928.42, 2,661.23 and 1,044.23

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Solution

The fourth proportional to 1,928.42, 2,661.23 and 1,044.23 is: 1,441.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.42 : 2,661.23 = 1,044.23 : x
  2. Step 2: Convert to fraction form
    1,928.42/2,661.23 = 1,044.23/x
  3. Step 3: Cross multiply
    1,928.42x = 2,661.23 × 1,044.23
  4. Step 4: Simplify right side
    1,928.42x = 2,778,934.60
  5. Step 5: Solve for x
    x = 2,778,934.60/1,928.42
  6. Step 6: Final answer
    x = 1,441.04

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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.