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Finding the Fourth Proportional to 4,570.68, 6,857.08 and 1,649

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Solution

The fourth proportional to 4,570.68, 6,857.08 and 1,649 is: 2,473.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.68 : 6,857.08 = 1,649 : x
  2. Step 2: Convert to fraction form
    4,570.68/6,857.08 = 1,649/x
  3. Step 3: Cross multiply
    4,570.68x = 6,857.08 × 1,649
  4. Step 4: Simplify right side
    4,570.68x = 11,307,324.92
  5. Step 5: Solve for x
    x = 11,307,324.92/4,570.68
  6. Step 6: Final answer
    x = 2,473.88

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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.