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Finding the Fourth Proportional to 1,452.56, 2,003.48 and 1,311.76

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Solution

The fourth proportional to 1,452.56, 2,003.48 and 1,311.76 is: 1,809.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.56 : 2,003.48 = 1,311.76 : x
  2. Step 2: Convert to fraction form
    1,452.56/2,003.48 = 1,311.76/x
  3. Step 3: Cross multiply
    1,452.56x = 2,003.48 × 1,311.76
  4. Step 4: Simplify right side
    1,452.56x = 2,628,084.92
  5. Step 5: Solve for x
    x = 2,628,084.92/1,452.56
  6. Step 6: Final answer
    x = 1,809.28

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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.