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Finding the Fourth Proportional to 2,867.81, 4,296.65 and 2,041.81

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Solution

The fourth proportional to 2,867.81, 4,296.65 and 2,041.81 is: 3,059.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.81 : 4,296.65 = 2,041.81 : x
  2. Step 2: Convert to fraction form
    2,867.81/4,296.65 = 2,041.81/x
  3. Step 3: Cross multiply
    2,867.81x = 4,296.65 × 2,041.81
  4. Step 4: Simplify right side
    2,867.81x = 8,772,921.99
  5. Step 5: Solve for x
    x = 8,772,921.99/2,867.81
  6. Step 6: Final answer
    x = 3,059.11

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Why These Related Problems?

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