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Finding the Fourth Proportional to 2,407.34, 3,608.82 and 867.98

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Solution

The fourth proportional to 2,407.34, 3,608.82 and 867.98 is: 1,301.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.34 : 3,608.82 = 867.98 : x
  2. Step 2: Convert to fraction form
    2,407.34/3,608.82 = 867.98/x
  3. Step 3: Cross multiply
    2,407.34x = 3,608.82 × 867.98
  4. Step 4: Simplify right side
    2,407.34x = 3,132,383.58
  5. Step 5: Solve for x
    x = 3,132,383.58/2,407.34
  6. Step 6: Final answer
    x = 1,301.18

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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.