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Finding the Fourth Proportional to 2,083.43, 2,871.18 and 1,492.94

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Solution

The fourth proportional to 2,083.43, 2,871.18 and 1,492.94 is: 2,057.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.43 : 2,871.18 = 1,492.94 : x
  2. Step 2: Convert to fraction form
    2,083.43/2,871.18 = 1,492.94/x
  3. Step 3: Cross multiply
    2,083.43x = 2,871.18 × 1,492.94
  4. Step 4: Simplify right side
    2,083.43x = 4,286,499.47
  5. Step 5: Solve for x
    x = 4,286,499.47/2,083.43
  6. Step 6: Final answer
    x = 2,057.42

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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.