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Finding the Fourth Proportional to 2,069.28, 3,103.95 and 608.46

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Solution

The fourth proportional to 2,069.28, 3,103.95 and 608.46 is: 912.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.28 : 3,103.95 = 608.46 : x
  2. Step 2: Convert to fraction form
    2,069.28/3,103.95 = 608.46/x
  3. Step 3: Cross multiply
    2,069.28x = 3,103.95 × 608.46
  4. Step 4: Simplify right side
    2,069.28x = 1,888,629.42
  5. Step 5: Solve for x
    x = 1,888,629.42/2,069.28
  6. Step 6: Final answer
    x = 912.70

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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.