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Finding the Fourth Proportional to 2,309.70, 3,463.62 and 1,010.25

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Solution

The fourth proportional to 2,309.70, 3,463.62 and 1,010.25 is: 1,514.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.70 : 3,463.62 = 1,010.25 : x
  2. Step 2: Convert to fraction form
    2,309.70/3,463.62 = 1,010.25/x
  3. Step 3: Cross multiply
    2,309.70x = 3,463.62 × 1,010.25
  4. Step 4: Simplify right side
    2,309.70x = 3,499,122.11
  5. Step 5: Solve for x
    x = 3,499,122.11/2,309.70
  6. Step 6: Final answer
    x = 1,514.97

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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.