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Finding the Fourth Proportional to 1,851.71, 2,775.71 and 1,523.66

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Solution

The fourth proportional to 1,851.71, 2,775.71 and 1,523.66 is: 2,283.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.71 : 2,775.71 = 1,523.66 : x
  2. Step 2: Convert to fraction form
    1,851.71/2,775.71 = 1,523.66/x
  3. Step 3: Cross multiply
    1,851.71x = 2,775.71 × 1,523.66
  4. Step 4: Simplify right side
    1,851.71x = 4,229,228.23
  5. Step 5: Solve for x
    x = 4,229,228.23/1,851.71
  6. Step 6: Final answer
    x = 2,283.96

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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.