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Finding the Fourth Proportional to 1,766.61, 2,650.32 and 889.52

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Solution

The fourth proportional to 1,766.61, 2,650.32 and 889.52 is: 1,334.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.61 : 2,650.32 = 889.52 : x
  2. Step 2: Convert to fraction form
    1,766.61/2,650.32 = 889.52/x
  3. Step 3: Cross multiply
    1,766.61x = 2,650.32 × 889.52
  4. Step 4: Simplify right side
    1,766.61x = 2,357,499.39
  5. Step 5: Solve for x
    x = 2,357,499.39/1,766.61
  6. Step 6: Final answer
    x = 1,334.48

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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.