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Finding the Fourth Proportional to 3,297.30, 4,945.17 and 956.69

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Solution

The fourth proportional to 3,297.30, 4,945.17 and 956.69 is: 1,434.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.30 : 4,945.17 = 956.69 : x
  2. Step 2: Convert to fraction form
    3,297.30/4,945.17 = 956.69/x
  3. Step 3: Cross multiply
    3,297.30x = 4,945.17 × 956.69
  4. Step 4: Simplify right side
    3,297.30x = 4,730,994.69
  5. Step 5: Solve for x
    x = 4,730,994.69/3,297.30
  6. Step 6: Final answer
    x = 1,434.81

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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.