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Finding the Fourth Proportional to 2,752.74, 3,799.17 and 1,705.14

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Solution

The fourth proportional to 2,752.74, 3,799.17 and 1,705.14 is: 2,353.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.74 : 3,799.17 = 1,705.14 : x
  2. Step 2: Convert to fraction form
    2,752.74/3,799.17 = 1,705.14/x
  3. Step 3: Cross multiply
    2,752.74x = 3,799.17 × 1,705.14
  4. Step 4: Simplify right side
    2,752.74x = 6,478,116.73
  5. Step 5: Solve for x
    x = 6,478,116.73/2,752.74
  6. Step 6: Final answer
    x = 2,353.33

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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.