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Finding the Fourth Proportional to 2,655.16, 3,974.82 and 1,612

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Solution

The fourth proportional to 2,655.16, 3,974.82 and 1,612 is: 2,413.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.16 : 3,974.82 = 1,612 : x
  2. Step 2: Convert to fraction form
    2,655.16/3,974.82 = 1,612/x
  3. Step 3: Cross multiply
    2,655.16x = 3,974.82 × 1,612
  4. Step 4: Simplify right side
    2,655.16x = 6,407,409.84
  5. Step 5: Solve for x
    x = 6,407,409.84/2,655.16
  6. Step 6: Final answer
    x = 2,413.19

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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.