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Finding the Fourth Proportional to 2,686.62, 4,029.99 and 837.75

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Solution

The fourth proportional to 2,686.62, 4,029.99 and 837.75 is: 1,256.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.62 : 4,029.99 = 837.75 : x
  2. Step 2: Convert to fraction form
    2,686.62/4,029.99 = 837.75/x
  3. Step 3: Cross multiply
    2,686.62x = 4,029.99 × 837.75
  4. Step 4: Simplify right side
    2,686.62x = 3,376,124.12
  5. Step 5: Solve for x
    x = 3,376,124.12/2,686.62
  6. Step 6: Final answer
    x = 1,256.64

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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.