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Finding the Fourth Proportional to 1,468.89, 2,199.06 and 1,143.27

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Solution

The fourth proportional to 1,468.89, 2,199.06 and 1,143.27 is: 1,711.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.89 : 2,199.06 = 1,143.27 : x
  2. Step 2: Convert to fraction form
    1,468.89/2,199.06 = 1,143.27/x
  3. Step 3: Cross multiply
    1,468.89x = 2,199.06 × 1,143.27
  4. Step 4: Simplify right side
    1,468.89x = 2,514,108.33
  5. Step 5: Solve for x
    x = 2,514,108.33/1,468.89
  6. Step 6: Final answer
    x = 1,711.58

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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.