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Finding the Fourth Proportional to 2,107.86, 2,909.10 and 1,321.80

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Solution

The fourth proportional to 2,107.86, 2,909.10 and 1,321.80 is: 1,824.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.86 : 2,909.10 = 1,321.80 : x
  2. Step 2: Convert to fraction form
    2,107.86/2,909.10 = 1,321.80/x
  3. Step 3: Cross multiply
    2,107.86x = 2,909.10 × 1,321.80
  4. Step 4: Simplify right side
    2,107.86x = 3,845,248.38
  5. Step 5: Solve for x
    x = 3,845,248.38/2,107.86
  6. Step 6: Final answer
    x = 1,824.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.