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Finding the Fourth Proportional to 2,069.19, 3,103.78 and 972.75

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Solution

The fourth proportional to 2,069.19, 3,103.78 and 972.75 is: 1,459.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.19 : 3,103.78 = 972.75 : x
  2. Step 2: Convert to fraction form
    2,069.19/3,103.78 = 972.75/x
  3. Step 3: Cross multiply
    2,069.19x = 3,103.78 × 972.75
  4. Step 4: Simplify right side
    2,069.19x = 3,019,202.00
  5. Step 5: Solve for x
    x = 3,019,202.00/2,069.19
  6. Step 6: Final answer
    x = 1,459.12

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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.