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Finding the Fourth Proportional to 2,776.58, 3,826.95 and 2,541.17

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Solution

The fourth proportional to 2,776.58, 3,826.95 and 2,541.17 is: 3,502.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.58 : 3,826.95 = 2,541.17 : x
  2. Step 2: Convert to fraction form
    2,776.58/3,826.95 = 2,541.17/x
  3. Step 3: Cross multiply
    2,776.58x = 3,826.95 × 2,541.17
  4. Step 4: Simplify right side
    2,776.58x = 9,724,930.57
  5. Step 5: Solve for x
    x = 9,724,930.57/2,776.58
  6. Step 6: Final answer
    x = 3,502.49

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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.