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Finding the Fourth Proportional to 2,020.02, 3,030.03 and 559.14

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Solution

The fourth proportional to 2,020.02, 3,030.03 and 559.14 is: 838.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.02 : 3,030.03 = 559.14 : x
  2. Step 2: Convert to fraction form
    2,020.02/3,030.03 = 559.14/x
  3. Step 3: Cross multiply
    2,020.02x = 3,030.03 × 559.14
  4. Step 4: Simplify right side
    2,020.02x = 1,694,199.61
  5. Step 5: Solve for x
    x = 1,694,199.61/2,020.02
  6. Step 6: Final answer
    x = 838.71

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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.