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Finding the Fourth Proportional to 1,546.85, 2,128.49 and 1,503.78

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Solution

The fourth proportional to 1,546.85, 2,128.49 and 1,503.78 is: 2,069.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.85 : 2,128.49 = 1,503.78 : x
  2. Step 2: Convert to fraction form
    1,546.85/2,128.49 = 1,503.78/x
  3. Step 3: Cross multiply
    1,546.85x = 2,128.49 × 1,503.78
  4. Step 4: Simplify right side
    1,546.85x = 3,200,773.17
  5. Step 5: Solve for x
    x = 3,200,773.17/1,546.85
  6. Step 6: Final answer
    x = 2,069.23

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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.