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Finding the Fourth Proportional to 2,705.88, 3,734.12 and 1,463.88

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Solution

The fourth proportional to 2,705.88, 3,734.12 and 1,463.88 is: 2,020.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.88 : 3,734.12 = 1,463.88 : x
  2. Step 2: Convert to fraction form
    2,705.88/3,734.12 = 1,463.88/x
  3. Step 3: Cross multiply
    2,705.88x = 3,734.12 × 1,463.88
  4. Step 4: Simplify right side
    2,705.88x = 5,466,303.59
  5. Step 5: Solve for x
    x = 5,466,303.59/2,705.88
  6. Step 6: Final answer
    x = 2,020.16

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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.