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Finding the Fourth Proportional to 2,083.59, 2,877.12 and 1,339.20

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Solution

The fourth proportional to 2,083.59, 2,877.12 and 1,339.20 is: 1,849.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.59 : 2,877.12 = 1,339.20 : x
  2. Step 2: Convert to fraction form
    2,083.59/2,877.12 = 1,339.20/x
  3. Step 3: Cross multiply
    2,083.59x = 2,877.12 × 1,339.20
  4. Step 4: Simplify right side
    2,083.59x = 3,853,039.10
  5. Step 5: Solve for x
    x = 3,853,039.10/2,083.59
  6. Step 6: Final answer
    x = 1,849.23

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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.