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Finding the Fourth Proportional to 1,851.32, 2,553.09 and 1,188.38

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Solution

The fourth proportional to 1,851.32, 2,553.09 and 1,188.38 is: 1,638.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.32 : 2,553.09 = 1,188.38 : x
  2. Step 2: Convert to fraction form
    1,851.32/2,553.09 = 1,188.38/x
  3. Step 3: Cross multiply
    1,851.32x = 2,553.09 × 1,188.38
  4. Step 4: Simplify right side
    1,851.32x = 3,034,041.09
  5. Step 5: Solve for x
    x = 3,034,041.09/1,851.32
  6. Step 6: Final answer
    x = 1,638.85

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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.