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Finding the Fourth Proportional to 2,193.83, 3,018.06 and 2,132.33

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Solution

The fourth proportional to 2,193.83, 3,018.06 and 2,132.33 is: 2,933.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.83 : 3,018.06 = 2,132.33 : x
  2. Step 2: Convert to fraction form
    2,193.83/3,018.06 = 2,132.33/x
  3. Step 3: Cross multiply
    2,193.83x = 3,018.06 × 2,132.33
  4. Step 4: Simplify right side
    2,193.83x = 6,435,484.79
  5. Step 5: Solve for x
    x = 6,435,484.79/2,193.83
  6. Step 6: Final answer
    x = 2,933.44

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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.