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Finding the Fourth Proportional to 1,859.31, 2,561.72 and 1,268.82

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Solution

The fourth proportional to 1,859.31, 2,561.72 and 1,268.82 is: 1,748.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.31 : 2,561.72 = 1,268.82 : x
  2. Step 2: Convert to fraction form
    1,859.31/2,561.72 = 1,268.82/x
  3. Step 3: Cross multiply
    1,859.31x = 2,561.72 × 1,268.82
  4. Step 4: Simplify right side
    1,859.31x = 3,250,355.23
  5. Step 5: Solve for x
    x = 3,250,355.23/1,859.31
  6. Step 6: Final answer
    x = 1,748.15

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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.