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Finding the Fourth Proportional to 1,933.54, 2,899.33 and 837.41

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Solution

The fourth proportional to 1,933.54, 2,899.33 and 837.41 is: 1,255.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.54 : 2,899.33 = 837.41 : x
  2. Step 2: Convert to fraction form
    1,933.54/2,899.33 = 837.41/x
  3. Step 3: Cross multiply
    1,933.54x = 2,899.33 × 837.41
  4. Step 4: Simplify right side
    1,933.54x = 2,427,911.35
  5. Step 5: Solve for x
    x = 2,427,911.35/1,933.54
  6. Step 6: Final answer
    x = 1,255.68

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