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Finding the Fourth Proportional to 2,407.91, 3,323.14 and 1,463.48

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Solution

The fourth proportional to 2,407.91, 3,323.14 and 1,463.48 is: 2,019.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.91 : 3,323.14 = 1,463.48 : x
  2. Step 2: Convert to fraction form
    2,407.91/3,323.14 = 1,463.48/x
  3. Step 3: Cross multiply
    2,407.91x = 3,323.14 × 1,463.48
  4. Step 4: Simplify right side
    2,407.91x = 4,863,348.93
  5. Step 5: Solve for x
    x = 4,863,348.93/2,407.91
  6. Step 6: Final answer
    x = 2,019.74

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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.