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Finding the Fourth Proportional to 1,863.44, 2,569.38 and 1,549.07

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Solution

The fourth proportional to 1,863.44, 2,569.38 and 1,549.07 is: 2,135.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.44 : 2,569.38 = 1,549.07 : x
  2. Step 2: Convert to fraction form
    1,863.44/2,569.38 = 1,549.07/x
  3. Step 3: Cross multiply
    1,863.44x = 2,569.38 × 1,549.07
  4. Step 4: Simplify right side
    1,863.44x = 3,980,149.48
  5. Step 5: Solve for x
    x = 3,980,149.48/1,863.44
  6. Step 6: Final answer
    x = 2,135.92

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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.