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Finding the Fourth Proportional to 1,883.25, 2,599.92 and 1,137.38

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Solution

The fourth proportional to 1,883.25, 2,599.92 and 1,137.38 is: 1,570.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.25 : 2,599.92 = 1,137.38 : x
  2. Step 2: Convert to fraction form
    1,883.25/2,599.92 = 1,137.38/x
  3. Step 3: Cross multiply
    1,883.25x = 2,599.92 × 1,137.38
  4. Step 4: Simplify right side
    1,883.25x = 2,957,084.01
  5. Step 5: Solve for x
    x = 2,957,084.01/1,883.25
  6. Step 6: Final answer
    x = 1,570.20

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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.