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Finding the Fourth Proportional to 2,875.70, 3,964.24 and 2,033.81

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Solution

The fourth proportional to 2,875.70, 3,964.24 and 2,033.81 is: 2,803.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.70 : 3,964.24 = 2,033.81 : x
  2. Step 2: Convert to fraction form
    2,875.70/3,964.24 = 2,033.81/x
  3. Step 3: Cross multiply
    2,875.70x = 3,964.24 × 2,033.81
  4. Step 4: Simplify right side
    2,875.70x = 8,062,508.54
  5. Step 5: Solve for x
    x = 8,062,508.54/2,875.70
  6. Step 6: Final answer
    x = 2,803.67

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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.