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Finding the Fourth Proportional to 2,643.37, 3,945.49 and 2,332.01

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Solution

The fourth proportional to 2,643.37, 3,945.49 and 2,332.01 is: 3,480.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.37 : 3,945.49 = 2,332.01 : x
  2. Step 2: Convert to fraction form
    2,643.37/3,945.49 = 2,332.01/x
  3. Step 3: Cross multiply
    2,643.37x = 3,945.49 × 2,332.01
  4. Step 4: Simplify right side
    2,643.37x = 9,200,926.17
  5. Step 5: Solve for x
    x = 9,200,926.17/2,643.37
  6. Step 6: Final answer
    x = 3,480.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.