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Finding the Fourth Proportional to 1,503.44, 2,256.60 and 854.72

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Solution

The fourth proportional to 1,503.44, 2,256.60 and 854.72 is: 1,282.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.44 : 2,256.60 = 854.72 : x
  2. Step 2: Convert to fraction form
    1,503.44/2,256.60 = 854.72/x
  3. Step 3: Cross multiply
    1,503.44x = 2,256.60 × 854.72
  4. Step 4: Simplify right side
    1,503.44x = 1,928,761.15
  5. Step 5: Solve for x
    x = 1,928,761.15/1,503.44
  6. Step 6: Final answer
    x = 1,282.90

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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.