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Finding the Fourth Proportional to 2,232.53, 3,346.97 and 1,503.53

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Solution

The fourth proportional to 2,232.53, 3,346.97 and 1,503.53 is: 2,254.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.53 : 3,346.97 = 1,503.53 : x
  2. Step 2: Convert to fraction form
    2,232.53/3,346.97 = 1,503.53/x
  3. Step 3: Cross multiply
    2,232.53x = 3,346.97 × 1,503.53
  4. Step 4: Simplify right side
    2,232.53x = 5,032,245.55
  5. Step 5: Solve for x
    x = 5,032,245.55/2,232.53
  6. Step 6: Final answer
    x = 2,254.06

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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.