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Finding the Fourth Proportional to 3,401.74, 4,693.22 and 1,909.45

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Solution

The fourth proportional to 3,401.74, 4,693.22 and 1,909.45 is: 2,634.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.74 : 4,693.22 = 1,909.45 : x
  2. Step 2: Convert to fraction form
    3,401.74/4,693.22 = 1,909.45/x
  3. Step 3: Cross multiply
    3,401.74x = 4,693.22 × 1,909.45
  4. Step 4: Simplify right side
    3,401.74x = 8,961,445.46
  5. Step 5: Solve for x
    x = 8,961,445.46/3,401.74
  6. Step 6: Final answer
    x = 2,634.37

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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.