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Finding the Fourth Proportional to 1,761.07, 2,642.51 and 774.57

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Solution

The fourth proportional to 1,761.07, 2,642.51 and 774.57 is: 1,162.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.07 : 2,642.51 = 774.57 : x
  2. Step 2: Convert to fraction form
    1,761.07/2,642.51 = 774.57/x
  3. Step 3: Cross multiply
    1,761.07x = 2,642.51 × 774.57
  4. Step 4: Simplify right side
    1,761.07x = 2,046,805.10
  5. Step 5: Solve for x
    x = 2,046,805.10/1,761.07
  6. Step 6: Final answer
    x = 1,162.25

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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.