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Finding the Fourth Proportional to 2,776.26, 3,830.13 and 2,473.28

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Solution

The fourth proportional to 2,776.26, 3,830.13 and 2,473.28 is: 3,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.26 : 3,830.13 = 2,473.28 : x
  2. Step 2: Convert to fraction form
    2,776.26/3,830.13 = 2,473.28/x
  3. Step 3: Cross multiply
    2,776.26x = 3,830.13 × 2,473.28
  4. Step 4: Simplify right side
    2,776.26x = 9,472,983.93
  5. Step 5: Solve for x
    x = 9,472,983.93/2,776.26
  6. Step 6: Final answer
    x = 3,412.14

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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.