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Finding the Fourth Proportional to 1,261.65, 1,891.83 and 741.75

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Solution

The fourth proportional to 1,261.65, 1,891.83 and 741.75 is: 1,112.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.65 : 1,891.83 = 741.75 : x
  2. Step 2: Convert to fraction form
    1,261.65/1,891.83 = 741.75/x
  3. Step 3: Cross multiply
    1,261.65x = 1,891.83 × 741.75
  4. Step 4: Simplify right side
    1,261.65x = 1,403,264.90
  5. Step 5: Solve for x
    x = 1,403,264.90/1,261.65
  6. Step 6: Final answer
    x = 1,112.25

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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.