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Finding the Fourth Proportional to 1,650.07, 2,278.63 and 1,061.63

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Solution

The fourth proportional to 1,650.07, 2,278.63 and 1,061.63 is: 1,466.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.07 : 2,278.63 = 1,061.63 : x
  2. Step 2: Convert to fraction form
    1,650.07/2,278.63 = 1,061.63/x
  3. Step 3: Cross multiply
    1,650.07x = 2,278.63 × 1,061.63
  4. Step 4: Simplify right side
    1,650.07x = 2,419,061.97
  5. Step 5: Solve for x
    x = 2,419,061.97/1,650.07
  6. Step 6: Final answer
    x = 1,466.04

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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.