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Finding the Fourth Proportional to 2,069.53, 3,104.81 and 1,030.03

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Solution

The fourth proportional to 2,069.53, 3,104.81 and 1,030.03 is: 1,545.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.53 : 3,104.81 = 1,030.03 : x
  2. Step 2: Convert to fraction form
    2,069.53/3,104.81 = 1,030.03/x
  3. Step 3: Cross multiply
    2,069.53x = 3,104.81 × 1,030.03
  4. Step 4: Simplify right side
    2,069.53x = 3,198,047.44
  5. Step 5: Solve for x
    x = 3,198,047.44/2,069.53
  6. Step 6: Final answer
    x = 1,545.30

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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.