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Finding the Fourth Proportional to 1,477.79, 2,214.59 and 819.97

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Solution

The fourth proportional to 1,477.79, 2,214.59 and 819.97 is: 1,228.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.79 : 2,214.59 = 819.97 : x
  2. Step 2: Convert to fraction form
    1,477.79/2,214.59 = 819.97/x
  3. Step 3: Cross multiply
    1,477.79x = 2,214.59 × 819.97
  4. Step 4: Simplify right side
    1,477.79x = 1,815,904.80
  5. Step 5: Solve for x
    x = 1,815,904.80/1,477.79
  6. Step 6: Final answer
    x = 1,228.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.