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Finding the Fourth Proportional to 3,283.26, 4,925.70 and 974.76

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Solution

The fourth proportional to 3,283.26, 4,925.70 and 974.76 is: 1,462.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.26 : 4,925.70 = 974.76 : x
  2. Step 2: Convert to fraction form
    3,283.26/4,925.70 = 974.76/x
  3. Step 3: Cross multiply
    3,283.26x = 4,925.70 × 974.76
  4. Step 4: Simplify right side
    3,283.26x = 4,801,375.33
  5. Step 5: Solve for x
    x = 4,801,375.33/3,283.26
  6. Step 6: Final answer
    x = 1,462.38

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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.