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Finding the Fourth Proportional to 2,595.19, 3,892.82 and 863.82

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Solution

The fourth proportional to 2,595.19, 3,892.82 and 863.82 is: 1,295.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.19 : 3,892.82 = 863.82 : x
  2. Step 2: Convert to fraction form
    2,595.19/3,892.82 = 863.82/x
  3. Step 3: Cross multiply
    2,595.19x = 3,892.82 × 863.82
  4. Step 4: Simplify right side
    2,595.19x = 3,362,695.77
  5. Step 5: Solve for x
    x = 3,362,695.77/2,595.19
  6. Step 6: Final answer
    x = 1,295.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.