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Finding the Fourth Proportional to 2,020.45, 3,030.68 and 614.88

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Solution

The fourth proportional to 2,020.45, 3,030.68 and 614.88 is: 922.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.45 : 3,030.68 = 614.88 : x
  2. Step 2: Convert to fraction form
    2,020.45/3,030.68 = 614.88/x
  3. Step 3: Cross multiply
    2,020.45x = 3,030.68 × 614.88
  4. Step 4: Simplify right side
    2,020.45x = 1,863,486.29
  5. Step 5: Solve for x
    x = 1,863,486.29/2,020.45
  6. Step 6: Final answer
    x = 922.31

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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.