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Finding the Fourth Proportional to 2,760.83, 3,807.14 and 2,363.82

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Solution

The fourth proportional to 2,760.83, 3,807.14 and 2,363.82 is: 3,259.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.83 : 3,807.14 = 2,363.82 : x
  2. Step 2: Convert to fraction form
    2,760.83/3,807.14 = 2,363.82/x
  3. Step 3: Cross multiply
    2,760.83x = 3,807.14 × 2,363.82
  4. Step 4: Simplify right side
    2,760.83x = 8,999,381.86
  5. Step 5: Solve for x
    x = 8,999,381.86/2,760.83
  6. Step 6: Final answer
    x = 3,259.67

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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.