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Finding the Fourth Proportional to 2,514.90, 3,772.86 and 871.41

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Solution

The fourth proportional to 2,514.90, 3,772.86 and 871.41 is: 1,307.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.90 : 3,772.86 = 871.41 : x
  2. Step 2: Convert to fraction form
    2,514.90/3,772.86 = 871.41/x
  3. Step 3: Cross multiply
    2,514.90x = 3,772.86 × 871.41
  4. Step 4: Simplify right side
    2,514.90x = 3,287,707.93
  5. Step 5: Solve for x
    x = 3,287,707.93/2,514.90
  6. Step 6: Final answer
    x = 1,307.29

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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.