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Finding the Fourth Proportional to 2,566.47, 3,850.23 and 811.93

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Solution

The fourth proportional to 2,566.47, 3,850.23 and 811.93 is: 1,218.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.47 : 3,850.23 = 811.93 : x
  2. Step 2: Convert to fraction form
    2,566.47/3,850.23 = 811.93/x
  3. Step 3: Cross multiply
    2,566.47x = 3,850.23 × 811.93
  4. Step 4: Simplify right side
    2,566.47x = 3,126,117.24
  5. Step 5: Solve for x
    x = 3,126,117.24/2,566.47
  6. Step 6: Final answer
    x = 1,218.06

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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.