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Finding the Fourth Proportional to 1,454.53, 2,003.86 and 1,011.67

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Solution

The fourth proportional to 1,454.53, 2,003.86 and 1,011.67 is: 1,393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.53 : 2,003.86 = 1,011.67 : x
  2. Step 2: Convert to fraction form
    1,454.53/2,003.86 = 1,011.67/x
  3. Step 3: Cross multiply
    1,454.53x = 2,003.86 × 1,011.67
  4. Step 4: Simplify right side
    1,454.53x = 2,027,245.05
  5. Step 5: Solve for x
    x = 2,027,245.05/1,454.53
  6. Step 6: Final answer
    x = 1,393.75

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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.