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Finding the Fourth Proportional to 2,030.74, 3,047.46 and 991.24

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Solution

The fourth proportional to 2,030.74, 3,047.46 and 991.24 is: 1,487.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.74 : 3,047.46 = 991.24 : x
  2. Step 2: Convert to fraction form
    2,030.74/3,047.46 = 991.24/x
  3. Step 3: Cross multiply
    2,030.74x = 3,047.46 × 991.24
  4. Step 4: Simplify right side
    2,030.74x = 3,020,764.25
  5. Step 5: Solve for x
    x = 3,020,764.25/2,030.74
  6. Step 6: Final answer
    x = 1,487.52

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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.