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Finding the Fourth Proportional to 2,343.85, 3,514.41 and 883.12

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Solution

The fourth proportional to 2,343.85, 3,514.41 and 883.12 is: 1,324.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.85 : 3,514.41 = 883.12 : x
  2. Step 2: Convert to fraction form
    2,343.85/3,514.41 = 883.12/x
  3. Step 3: Cross multiply
    2,343.85x = 3,514.41 × 883.12
  4. Step 4: Simplify right side
    2,343.85x = 3,103,645.76
  5. Step 5: Solve for x
    x = 3,103,645.76/2,343.85
  6. Step 6: Final answer
    x = 1,324.17

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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.