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Finding the Fourth Proportional to 2,776.90, 3,832.68 and 1,767.95

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Solution

The fourth proportional to 2,776.90, 3,832.68 and 1,767.95 is: 2,440.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.90 : 3,832.68 = 1,767.95 : x
  2. Step 2: Convert to fraction form
    2,776.90/3,832.68 = 1,767.95/x
  3. Step 3: Cross multiply
    2,776.90x = 3,832.68 × 1,767.95
  4. Step 4: Simplify right side
    2,776.90x = 6,775,986.61
  5. Step 5: Solve for x
    x = 6,775,986.61/2,776.90
  6. Step 6: Final answer
    x = 2,440.13

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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.