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Finding the Fourth Proportional to 2,148.91, 3,221.99 and 761.98

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Solution

The fourth proportional to 2,148.91, 3,221.99 and 761.98 is: 1,142.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.91 : 3,221.99 = 761.98 : x
  2. Step 2: Convert to fraction form
    2,148.91/3,221.99 = 761.98/x
  3. Step 3: Cross multiply
    2,148.91x = 3,221.99 × 761.98
  4. Step 4: Simplify right side
    2,148.91x = 2,455,091.94
  5. Step 5: Solve for x
    x = 2,455,091.94/2,148.91
  6. Step 6: Final answer
    x = 1,142.48

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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.