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Finding the Fourth Proportional to 2,194.04, 3,291.38 and 807.23

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Solution

The fourth proportional to 2,194.04, 3,291.38 and 807.23 is: 1,210.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.04 : 3,291.38 = 807.23 : x
  2. Step 2: Convert to fraction form
    2,194.04/3,291.38 = 807.23/x
  3. Step 3: Cross multiply
    2,194.04x = 3,291.38 × 807.23
  4. Step 4: Simplify right side
    2,194.04x = 2,656,880.18
  5. Step 5: Solve for x
    x = 2,656,880.18/2,194.04
  6. Step 6: Final answer
    x = 1,210.96

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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.