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Finding the Fourth Proportional to 2,433.56, 3,648.68 and 873.53

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Solution

The fourth proportional to 2,433.56, 3,648.68 and 873.53 is: 1,309.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.56 : 3,648.68 = 873.53 : x
  2. Step 2: Convert to fraction form
    2,433.56/3,648.68 = 873.53/x
  3. Step 3: Cross multiply
    2,433.56x = 3,648.68 × 873.53
  4. Step 4: Simplify right side
    2,433.56x = 3,187,227.07
  5. Step 5: Solve for x
    x = 3,187,227.07/2,433.56
  6. Step 6: Final answer
    x = 1,309.70

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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.