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Finding the Fourth Proportional to 1,567.05, 2,162.26 and 937.83

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Solution

The fourth proportional to 1,567.05, 2,162.26 and 937.83 is: 1,294.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.05 : 2,162.26 = 937.83 : x
  2. Step 2: Convert to fraction form
    1,567.05/2,162.26 = 937.83/x
  3. Step 3: Cross multiply
    1,567.05x = 2,162.26 × 937.83
  4. Step 4: Simplify right side
    1,567.05x = 2,027,832.30
  5. Step 5: Solve for x
    x = 2,027,832.30/1,567.05
  6. Step 6: Final answer
    x = 1,294.04

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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.