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Finding the Fourth Proportional to 2,322.95, 3,197.33 and 2,101.43

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Solution

The fourth proportional to 2,322.95, 3,197.33 and 2,101.43 is: 2,892.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.95 : 3,197.33 = 2,101.43 : x
  2. Step 2: Convert to fraction form
    2,322.95/3,197.33 = 2,101.43/x
  3. Step 3: Cross multiply
    2,322.95x = 3,197.33 × 2,101.43
  4. Step 4: Simplify right side
    2,322.95x = 6,718,954.67
  5. Step 5: Solve for x
    x = 6,718,954.67/2,322.95
  6. Step 6: Final answer
    x = 2,892.42

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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.