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Finding the Fourth Proportional to 2,083.80, 3,125.70 and 1,427.70

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Solution

The fourth proportional to 2,083.80, 3,125.70 and 1,427.70 is: 2,141.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.80 : 3,125.70 = 1,427.70 : x
  2. Step 2: Convert to fraction form
    2,083.80/3,125.70 = 1,427.70/x
  3. Step 3: Cross multiply
    2,083.80x = 3,125.70 × 1,427.70
  4. Step 4: Simplify right side
    2,083.80x = 4,462,561.89
  5. Step 5: Solve for x
    x = 4,462,561.89/2,083.80
  6. Step 6: Final answer
    x = 2,141.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.