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Finding the Fourth Proportional to 1,752.27, 2,626.11 and 928.80

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Solution

The fourth proportional to 1,752.27, 2,626.11 and 928.80 is: 1,391.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.27 : 2,626.11 = 928.80 : x
  2. Step 2: Convert to fraction form
    1,752.27/2,626.11 = 928.80/x
  3. Step 3: Cross multiply
    1,752.27x = 2,626.11 × 928.80
  4. Step 4: Simplify right side
    1,752.27x = 2,439,130.97
  5. Step 5: Solve for x
    x = 2,439,130.97/1,752.27
  6. Step 6: Final answer
    x = 1,391.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.