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Finding the Fourth Proportional to 1,933.12, 2,899.68 and 837.19

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Solution

The fourth proportional to 1,933.12, 2,899.68 and 837.19 is: 1,255.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.12 : 2,899.68 = 837.19 : x
  2. Step 2: Convert to fraction form
    1,933.12/2,899.68 = 837.19/x
  3. Step 3: Cross multiply
    1,933.12x = 2,899.68 × 837.19
  4. Step 4: Simplify right side
    1,933.12x = 2,427,583.10
  5. Step 5: Solve for x
    x = 2,427,583.10/1,933.12
  6. Step 6: Final answer
    x = 1,255.79

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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.