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Finding the Fourth Proportional to 2,193.47, 3,290.24 and 807.13

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Solution

The fourth proportional to 2,193.47, 3,290.24 and 807.13 is: 1,210.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.47 : 3,290.24 = 807.13 : x
  2. Step 2: Convert to fraction form
    2,193.47/3,290.24 = 807.13/x
  3. Step 3: Cross multiply
    2,193.47x = 3,290.24 × 807.13
  4. Step 4: Simplify right side
    2,193.47x = 2,655,651.41
  5. Step 5: Solve for x
    x = 2,655,651.41/2,193.47
  6. Step 6: Final answer
    x = 1,210.71

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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.