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Finding the Fourth Proportional to 2,020.17, 3,029.91 and 559.00

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Solution

The fourth proportional to 2,020.17, 3,029.91 and 559.00 is: 838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.17 : 3,029.91 = 559.00 : x
  2. Step 2: Convert to fraction form
    2,020.17/3,029.91 = 559.00/x
  3. Step 3: Cross multiply
    2,020.17x = 3,029.91 × 559.00
  4. Step 4: Simplify right side
    2,020.17x = 1,693,721.38
  5. Step 5: Solve for x
    x = 1,693,721.38/2,020.17
  6. Step 6: Final answer
    x = 838.40

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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.