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Finding the Fourth Proportional to 2,407.32, 3,608.10 and 867.48

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Solution

The fourth proportional to 2,407.32, 3,608.10 and 867.48 is: 1,300.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.32 : 3,608.10 = 867.48 : x
  2. Step 2: Convert to fraction form
    2,407.32/3,608.10 = 867.48/x
  3. Step 3: Cross multiply
    2,407.32x = 3,608.10 × 867.48
  4. Step 4: Simplify right side
    2,407.32x = 3,129,954.59
  5. Step 5: Solve for x
    x = 3,129,954.59/2,407.32
  6. Step 6: Final answer
    x = 1,300.18

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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.