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Finding the Fourth Proportional to 2,705.84, 4,059 and 1,549.20

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Solution

The fourth proportional to 2,705.84, 4,059 and 1,549.20 is: 2,323.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.84 : 4,059 = 1,549.20 : x
  2. Step 2: Convert to fraction form
    2,705.84/4,059 = 1,549.20/x
  3. Step 3: Cross multiply
    2,705.84x = 4,059 × 1,549.20
  4. Step 4: Simplify right side
    2,705.84x = 6,288,202.80
  5. Step 5: Solve for x
    x = 6,288,202.80/2,705.84
  6. Step 6: Final answer
    x = 2,323.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.