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Finding the Fourth Proportional to 1,761.67, 2,642.55 and 607.42

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Solution

The fourth proportional to 1,761.67, 2,642.55 and 607.42 is: 911.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.67 : 2,642.55 = 607.42 : x
  2. Step 2: Convert to fraction form
    1,761.67/2,642.55 = 607.42/x
  3. Step 3: Cross multiply
    1,761.67x = 2,642.55 × 607.42
  4. Step 4: Simplify right side
    1,761.67x = 1,605,137.72
  5. Step 5: Solve for x
    x = 1,605,137.72/1,761.67
  6. Step 6: Final answer
    x = 911.15

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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.