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Finding the Fourth Proportional to 2,705.91, 3,734.15 and 1,463.91

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Solution

The fourth proportional to 2,705.91, 3,734.15 and 1,463.91 is: 2,020.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.91 : 3,734.15 = 1,463.91 : x
  2. Step 2: Convert to fraction form
    2,705.91/3,734.15 = 1,463.91/x
  3. Step 3: Cross multiply
    2,705.91x = 3,734.15 × 1,463.91
  4. Step 4: Simplify right side
    2,705.91x = 5,466,452.21
  5. Step 5: Solve for x
    x = 5,466,452.21/2,705.91
  6. Step 6: Final answer
    x = 2,020.19

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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.