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Finding the Fourth Proportional to 1,807.41, 2,712.23 and 820.93

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Solution

The fourth proportional to 1,807.41, 2,712.23 and 820.93 is: 1,231.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.41 : 2,712.23 = 820.93 : x
  2. Step 2: Convert to fraction form
    1,807.41/2,712.23 = 820.93/x
  3. Step 3: Cross multiply
    1,807.41x = 2,712.23 × 820.93
  4. Step 4: Simplify right side
    1,807.41x = 2,226,546.87
  5. Step 5: Solve for x
    x = 2,226,546.87/1,807.41
  6. Step 6: Final answer
    x = 1,231.90

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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.