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Finding the Fourth Proportional to 2,069.24, 3,103.94 and 972.84

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Solution

The fourth proportional to 2,069.24, 3,103.94 and 972.84 is: 1,459.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.24 : 3,103.94 = 972.84 : x
  2. Step 2: Convert to fraction form
    2,069.24/3,103.94 = 972.84/x
  3. Step 3: Cross multiply
    2,069.24x = 3,103.94 × 972.84
  4. Step 4: Simplify right side
    2,069.24x = 3,019,627.78
  5. Step 5: Solve for x
    x = 3,019,627.78/2,069.24
  6. Step 6: Final answer
    x = 1,459.29

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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.