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Finding the Fourth Proportional to 1,891.71, 2,610.60 and 1,106.21

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Solution

The fourth proportional to 1,891.71, 2,610.60 and 1,106.21 is: 1,526.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.71 : 2,610.60 = 1,106.21 : x
  2. Step 2: Convert to fraction form
    1,891.71/2,610.60 = 1,106.21/x
  3. Step 3: Cross multiply
    1,891.71x = 2,610.60 × 1,106.21
  4. Step 4: Simplify right side
    1,891.71x = 2,887,874.20
  5. Step 5: Solve for x
    x = 2,887,874.20/1,891.71
  6. Step 6: Final answer
    x = 1,526.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.