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Finding the Fourth Proportional to 2,708.61, 3,734.50 and 2,261.13

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Solution

The fourth proportional to 2,708.61, 3,734.50 and 2,261.13 is: 3,117.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.61 : 3,734.50 = 2,261.13 : x
  2. Step 2: Convert to fraction form
    2,708.61/3,734.50 = 2,261.13/x
  3. Step 3: Cross multiply
    2,708.61x = 3,734.50 × 2,261.13
  4. Step 4: Simplify right side
    2,708.61x = 8,444,189.99
  5. Step 5: Solve for x
    x = 8,444,189.99/2,708.61
  6. Step 6: Final answer
    x = 3,117.54

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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.