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Finding the Fourth Proportional to 2,310.59, 3,464.49 and 974.79

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Solution

The fourth proportional to 2,310.59, 3,464.49 and 974.79 is: 1,461.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.59 : 3,464.49 = 974.79 : x
  2. Step 2: Convert to fraction form
    2,310.59/3,464.49 = 974.79/x
  3. Step 3: Cross multiply
    2,310.59x = 3,464.49 × 974.79
  4. Step 4: Simplify right side
    2,310.59x = 3,377,150.21
  5. Step 5: Solve for x
    x = 3,377,150.21/2,310.59
  6. Step 6: Final answer
    x = 1,461.60

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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.