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Finding the Fourth Proportional to 2,024.19, 3,036.14 and 980.97

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Solution

The fourth proportional to 2,024.19, 3,036.14 and 980.97 is: 1,471.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.19 : 3,036.14 = 980.97 : x
  2. Step 2: Convert to fraction form
    2,024.19/3,036.14 = 980.97/x
  3. Step 3: Cross multiply
    2,024.19x = 3,036.14 × 980.97
  4. Step 4: Simplify right side
    2,024.19x = 2,978,357.35
  5. Step 5: Solve for x
    x = 2,978,357.35/2,024.19
  6. Step 6: Final answer
    x = 1,471.38

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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.