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Finding the Fourth Proportional to 2,020.43, 3,030.70 and 559.60

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Solution

The fourth proportional to 2,020.43, 3,030.70 and 559.60 is: 839.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.43 : 3,030.70 = 559.60 : x
  2. Step 2: Convert to fraction form
    2,020.43/3,030.70 = 559.60/x
  3. Step 3: Cross multiply
    2,020.43x = 3,030.70 × 559.60
  4. Step 4: Simplify right side
    2,020.43x = 1,695,966.35
  5. Step 5: Solve for x
    x = 1,695,966.35/2,020.43
  6. Step 6: Final answer
    x = 839.41

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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.