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Finding the Fourth Proportional to 2,269.36, 3,127.03 and 1,825.48

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Solution

The fourth proportional to 2,269.36, 3,127.03 and 1,825.48 is: 2,515.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.36 : 3,127.03 = 1,825.48 : x
  2. Step 2: Convert to fraction form
    2,269.36/3,127.03 = 1,825.48/x
  3. Step 3: Cross multiply
    2,269.36x = 3,127.03 × 1,825.48
  4. Step 4: Simplify right side
    2,269.36x = 5,708,330.72
  5. Step 5: Solve for x
    x = 5,708,330.72/2,269.36
  6. Step 6: Final answer
    x = 2,515.39

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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.