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Finding the Fourth Proportional to 4,114.65, 6,171.84 and 1,648.82

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Solution

The fourth proportional to 4,114.65, 6,171.84 and 1,648.82 is: 2,473.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.65 : 6,171.84 = 1,648.82 : x
  2. Step 2: Convert to fraction form
    4,114.65/6,171.84 = 1,648.82/x
  3. Step 3: Cross multiply
    4,114.65x = 6,171.84 × 1,648.82
  4. Step 4: Simplify right side
    4,114.65x = 10,176,253.23
  5. Step 5: Solve for x
    x = 10,176,253.23/4,114.65
  6. Step 6: Final answer
    x = 2,473.18

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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.