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Finding the Fourth Proportional to 2,777.16, 3,834.18 and 2,513

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Solution

The fourth proportional to 2,777.16, 3,834.18 and 2,513 is: 3,469.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.16 : 3,834.18 = 2,513 : x
  2. Step 2: Convert to fraction form
    2,777.16/3,834.18 = 2,513/x
  3. Step 3: Cross multiply
    2,777.16x = 3,834.18 × 2,513
  4. Step 4: Simplify right side
    2,777.16x = 9,635,294.34
  5. Step 5: Solve for x
    x = 9,635,294.34/2,777.16
  6. Step 6: Final answer
    x = 3,469.48

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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.