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Finding the Fourth Proportional to 1,650.61, 2,277.82 and 942.57

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Solution

The fourth proportional to 1,650.61, 2,277.82 and 942.57 is: 1,300.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.61 : 2,277.82 = 942.57 : x
  2. Step 2: Convert to fraction form
    1,650.61/2,277.82 = 942.57/x
  3. Step 3: Cross multiply
    1,650.61x = 2,277.82 × 942.57
  4. Step 4: Simplify right side
    1,650.61x = 2,147,005.98
  5. Step 5: Solve for x
    x = 2,147,005.98/1,650.61
  6. Step 6: Final answer
    x = 1,300.73

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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.