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Finding the Fourth Proportional to 2,407.26, 3,321.16 and 1,462.67

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Solution

The fourth proportional to 2,407.26, 3,321.16 and 1,462.67 is: 2,017.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.26 : 3,321.16 = 1,462.67 : x
  2. Step 2: Convert to fraction form
    2,407.26/3,321.16 = 1,462.67/x
  3. Step 3: Cross multiply
    2,407.26x = 3,321.16 × 1,462.67
  4. Step 4: Simplify right side
    2,407.26x = 4,857,740.83
  5. Step 5: Solve for x
    x = 4,857,740.83/2,407.26
  6. Step 6: Final answer
    x = 2,017.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.