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Finding the Fourth Proportional to 2,453.40, 3,680.61 and 810.10

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Solution

The fourth proportional to 2,453.40, 3,680.61 and 810.10 is: 1,215.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.40 : 3,680.61 = 810.10 : x
  2. Step 2: Convert to fraction form
    2,453.40/3,680.61 = 810.10/x
  3. Step 3: Cross multiply
    2,453.40x = 3,680.61 × 810.10
  4. Step 4: Simplify right side
    2,453.40x = 2,981,662.16
  5. Step 5: Solve for x
    x = 2,981,662.16/2,453.40
  6. Step 6: Final answer
    x = 1,215.32

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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.