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Finding the Fourth Proportional to 2,407.22, 3,609.23 and 868.02

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Solution

The fourth proportional to 2,407.22, 3,609.23 and 868.02 is: 1,301.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.22 : 3,609.23 = 868.02 : x
  2. Step 2: Convert to fraction form
    2,407.22/3,609.23 = 868.02/x
  3. Step 3: Cross multiply
    2,407.22x = 3,609.23 × 868.02
  4. Step 4: Simplify right side
    2,407.22x = 3,132,883.82
  5. Step 5: Solve for x
    x = 3,132,883.82/2,407.22
  6. Step 6: Final answer
    x = 1,301.45

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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.