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Finding the Fourth Proportional to 2,309.40, 3,463.74 and 1,010.52

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Solution

The fourth proportional to 2,309.40, 3,463.74 and 1,010.52 is: 1,515.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.40 : 3,463.74 = 1,010.52 : x
  2. Step 2: Convert to fraction form
    2,309.40/3,463.74 = 1,010.52/x
  3. Step 3: Cross multiply
    2,309.40x = 3,463.74 × 1,010.52
  4. Step 4: Simplify right side
    2,309.40x = 3,500,178.54
  5. Step 5: Solve for x
    x = 3,500,178.54/2,309.40
  6. Step 6: Final answer
    x = 1,515.62

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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.