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Finding the Fourth Proportional to 2,372.92, 3,559.74 and 812.76

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Solution

The fourth proportional to 2,372.92, 3,559.74 and 812.76 is: 1,219.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.92 : 3,559.74 = 812.76 : x
  2. Step 2: Convert to fraction form
    2,372.92/3,559.74 = 812.76/x
  3. Step 3: Cross multiply
    2,372.92x = 3,559.74 × 812.76
  4. Step 4: Simplify right side
    2,372.92x = 2,893,214.28
  5. Step 5: Solve for x
    x = 2,893,214.28/2,372.92
  6. Step 6: Final answer
    x = 1,219.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.