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Finding the Fourth Proportional to 2,038.72, 2,813.26 and 1,199.96

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Solution

The fourth proportional to 2,038.72, 2,813.26 and 1,199.96 is: 1,655.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.72 : 2,813.26 = 1,199.96 : x
  2. Step 2: Convert to fraction form
    2,038.72/2,813.26 = 1,199.96/x
  3. Step 3: Cross multiply
    2,038.72x = 2,813.26 × 1,199.96
  4. Step 4: Simplify right side
    2,038.72x = 3,375,799.47
  5. Step 5: Solve for x
    x = 3,375,799.47/2,038.72
  6. Step 6: Final answer
    x = 1,655.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.