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Finding the Fourth Proportional to 2,372.79, 3,559.60 and 812.43

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Solution

The fourth proportional to 2,372.79, 3,559.60 and 812.43 is: 1,218.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.79 : 3,559.60 = 812.43 : x
  2. Step 2: Convert to fraction form
    2,372.79/3,559.60 = 812.43/x
  3. Step 3: Cross multiply
    2,372.79x = 3,559.60 × 812.43
  4. Step 4: Simplify right side
    2,372.79x = 2,891,925.83
  5. Step 5: Solve for x
    x = 2,891,925.83/2,372.79
  6. Step 6: Final answer
    x = 1,218.79

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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.