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Finding the Fourth Proportional to 2,752.62, 3,800.01 and 1,705.29

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Solution

The fourth proportional to 2,752.62, 3,800.01 and 1,705.29 is: 2,354.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.62 : 3,800.01 = 1,705.29 : x
  2. Step 2: Convert to fraction form
    2,752.62/3,800.01 = 1,705.29/x
  3. Step 3: Cross multiply
    2,752.62x = 3,800.01 × 1,705.29
  4. Step 4: Simplify right side
    2,752.62x = 6,480,119.05
  5. Step 5: Solve for x
    x = 6,480,119.05/2,752.62
  6. Step 6: Final answer
    x = 2,354.16

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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.