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Finding the Fourth Proportional to 1,452.40, 2,003.61 and 928.06

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Solution

The fourth proportional to 1,452.40, 2,003.61 and 928.06 is: 1,280.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.40 : 2,003.61 = 928.06 : x
  2. Step 2: Convert to fraction form
    1,452.40/2,003.61 = 928.06/x
  3. Step 3: Cross multiply
    1,452.40x = 2,003.61 × 928.06
  4. Step 4: Simplify right side
    1,452.40x = 1,859,470.30
  5. Step 5: Solve for x
    x = 1,859,470.30/1,452.40
  6. Step 6: Final answer
    x = 1,280.27

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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.