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Finding the Fourth Proportional to 2,046.25, 2,824.19 and 1,206.90

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Solution

The fourth proportional to 2,046.25, 2,824.19 and 1,206.90 is: 1,665.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.25 : 2,824.19 = 1,206.90 : x
  2. Step 2: Convert to fraction form
    2,046.25/2,824.19 = 1,206.90/x
  3. Step 3: Cross multiply
    2,046.25x = 2,824.19 × 1,206.90
  4. Step 4: Simplify right side
    2,046.25x = 3,408,514.91
  5. Step 5: Solve for x
    x = 3,408,514.91/2,046.25
  6. Step 6: Final answer
    x = 1,665.74

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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.