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Finding the Fourth Proportional to 1,645.14, 2,456.16 and 1,492.14

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Solution

The fourth proportional to 1,645.14, 2,456.16 and 1,492.14 is: 2,227.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.14 : 2,456.16 = 1,492.14 : x
  2. Step 2: Convert to fraction form
    1,645.14/2,456.16 = 1,492.14/x
  3. Step 3: Cross multiply
    1,645.14x = 2,456.16 × 1,492.14
  4. Step 4: Simplify right side
    1,645.14x = 3,664,934.58
  5. Step 5: Solve for x
    x = 3,664,934.58/1,645.14
  6. Step 6: Final answer
    x = 2,227.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.