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Finding the Fourth Proportional to 2,020.65, 3,031.14 and 559.80

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Solution

The fourth proportional to 2,020.65, 3,031.14 and 559.80 is: 839.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.65 : 3,031.14 = 559.80 : x
  2. Step 2: Convert to fraction form
    2,020.65/3,031.14 = 559.80/x
  3. Step 3: Cross multiply
    2,020.65x = 3,031.14 × 559.80
  4. Step 4: Simplify right side
    2,020.65x = 1,696,832.17
  5. Step 5: Solve for x
    x = 1,696,832.17/2,020.65
  6. Step 6: Final answer
    x = 839.75

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