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Finding the Fourth Proportional to 2,310.72, 3,460.17 and 1,528.33

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Solution

The fourth proportional to 2,310.72, 3,460.17 and 1,528.33 is: 2,288.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.72 : 3,460.17 = 1,528.33 : x
  2. Step 2: Convert to fraction form
    2,310.72/3,460.17 = 1,528.33/x
  3. Step 3: Cross multiply
    2,310.72x = 3,460.17 × 1,528.33
  4. Step 4: Simplify right side
    2,310.72x = 5,288,281.62
  5. Step 5: Solve for x
    x = 5,288,281.62/2,310.72
  6. Step 6: Final answer
    x = 2,288.59

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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.