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Finding the Fourth Proportional to 2,806.17, 4,206.06 and 1,708.11

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Solution

The fourth proportional to 2,806.17, 4,206.06 and 1,708.11 is: 2,560.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.17 : 4,206.06 = 1,708.11 : x
  2. Step 2: Convert to fraction form
    2,806.17/4,206.06 = 1,708.11/x
  3. Step 3: Cross multiply
    2,806.17x = 4,206.06 × 1,708.11
  4. Step 4: Simplify right side
    2,806.17x = 7,184,413.15
  5. Step 5: Solve for x
    x = 7,184,413.15/2,806.17
  6. Step 6: Final answer
    x = 2,560.22

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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.