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Finding the Fourth Proportional to 2,020.16, 3,030.42 and 559.32

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Solution

The fourth proportional to 2,020.16, 3,030.42 and 559.32 is: 839.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.16 : 3,030.42 = 559.32 : x
  2. Step 2: Convert to fraction form
    2,020.16/3,030.42 = 559.32/x
  3. Step 3: Cross multiply
    2,020.16x = 3,030.42 × 559.32
  4. Step 4: Simplify right side
    2,020.16x = 1,694,974.51
  5. Step 5: Solve for x
    x = 1,694,974.51/2,020.16
  6. Step 6: Final answer
    x = 839.03

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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.