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Finding the Fourth Proportional to 3,421.88, 4,721.77 and 2,005.24

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Solution

The fourth proportional to 3,421.88, 4,721.77 and 2,005.24 is: 2,766.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.88 : 4,721.77 = 2,005.24 : x
  2. Step 2: Convert to fraction form
    3,421.88/4,721.77 = 2,005.24/x
  3. Step 3: Cross multiply
    3,421.88x = 4,721.77 × 2,005.24
  4. Step 4: Simplify right side
    3,421.88x = 9,468,282.10
  5. Step 5: Solve for x
    x = 9,468,282.10/3,421.88
  6. Step 6: Final answer
    x = 2,766.98

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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.