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Finding the Fourth Proportional to 3,082.65, 4,623.98 and 2,106.33

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Solution

The fourth proportional to 3,082.65, 4,623.98 and 2,106.33 is: 3,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.65 : 4,623.98 = 2,106.33 : x
  2. Step 2: Convert to fraction form
    3,082.65/4,623.98 = 2,106.33/x
  3. Step 3: Cross multiply
    3,082.65x = 4,623.98 × 2,106.33
  4. Step 4: Simplify right side
    3,082.65x = 9,739,617.26
  5. Step 5: Solve for x
    x = 9,739,617.26/3,082.65
  6. Step 6: Final answer
    x = 3,159.50

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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.