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Finding the Fourth Proportional to 2,104.71, 3,155.27 and 807.09

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Solution

The fourth proportional to 2,104.71, 3,155.27 and 807.09 is: 1,209.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.71 : 3,155.27 = 807.09 : x
  2. Step 2: Convert to fraction form
    2,104.71/3,155.27 = 807.09/x
  3. Step 3: Cross multiply
    2,104.71x = 3,155.27 × 807.09
  4. Step 4: Simplify right side
    2,104.71x = 2,546,582.83
  5. Step 5: Solve for x
    x = 2,546,582.83/2,104.71
  6. Step 6: Final answer
    x = 1,209.94

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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.