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Finding the Fourth Proportional to 2,203.28, 3,040.08 and 1,259.38

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Solution

The fourth proportional to 2,203.28, 3,040.08 and 1,259.38 is: 1,737.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.28 : 3,040.08 = 1,259.38 : x
  2. Step 2: Convert to fraction form
    2,203.28/3,040.08 = 1,259.38/x
  3. Step 3: Cross multiply
    2,203.28x = 3,040.08 × 1,259.38
  4. Step 4: Simplify right side
    2,203.28x = 3,828,622.11
  5. Step 5: Solve for x
    x = 3,828,622.11/2,203.28
  6. Step 6: Final answer
    x = 1,737.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.