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Finding the Fourth Proportional to 2,020.49, 3,030.80 and 559.75

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Solution

The fourth proportional to 2,020.49, 3,030.80 and 559.75 is: 839.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.49 : 3,030.80 = 559.75 : x
  2. Step 2: Convert to fraction form
    2,020.49/3,030.80 = 559.75/x
  3. Step 3: Cross multiply
    2,020.49x = 3,030.80 × 559.75
  4. Step 4: Simplify right side
    2,020.49x = 1,696,490.30
  5. Step 5: Solve for x
    x = 1,696,490.30/2,020.49
  6. Step 6: Final answer
    x = 839.64

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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.