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Finding the Fourth Proportional to 2,773.82, 3,827.78 and 1,595.07

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Solution

The fourth proportional to 2,773.82, 3,827.78 and 1,595.07 is: 2,201.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.82 : 3,827.78 = 1,595.07 : x
  2. Step 2: Convert to fraction form
    2,773.82/3,827.78 = 1,595.07/x
  3. Step 3: Cross multiply
    2,773.82x = 3,827.78 × 1,595.07
  4. Step 4: Simplify right side
    2,773.82x = 6,105,577.04
  5. Step 5: Solve for x
    x = 6,105,577.04/2,773.82
  6. Step 6: Final answer
    x = 2,201.14

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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.