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Finding the Fourth Proportional to 2,795.88, 3,856.50 and 2,166.96

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Solution

The fourth proportional to 2,795.88, 3,856.50 and 2,166.96 is: 2,989.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.88 : 3,856.50 = 2,166.96 : x
  2. Step 2: Convert to fraction form
    2,795.88/3,856.50 = 2,166.96/x
  3. Step 3: Cross multiply
    2,795.88x = 3,856.50 × 2,166.96
  4. Step 4: Simplify right side
    2,795.88x = 8,356,881.24
  5. Step 5: Solve for x
    x = 8,356,881.24/2,795.88
  6. Step 6: Final answer
    x = 2,989.00

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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.