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Finding the Fourth Proportional to 2,343.70, 3,516.51 and 1,026.78

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Solution

The fourth proportional to 2,343.70, 3,516.51 and 1,026.78 is: 1,540.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.70 : 3,516.51 = 1,026.78 : x
  2. Step 2: Convert to fraction form
    2,343.70/3,516.51 = 1,026.78/x
  3. Step 3: Cross multiply
    2,343.70x = 3,516.51 × 1,026.78
  4. Step 4: Simplify right side
    2,343.70x = 3,610,672.80
  5. Step 5: Solve for x
    x = 3,610,672.80/2,343.70
  6. Step 6: Final answer
    x = 1,540.59

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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.