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Finding the Fourth Proportional to 1,650.89, 2,278.25 and 1,061.62

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Solution

The fourth proportional to 1,650.89, 2,278.25 and 1,061.62 is: 1,465.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.89 : 2,278.25 = 1,061.62 : x
  2. Step 2: Convert to fraction form
    1,650.89/2,278.25 = 1,061.62/x
  3. Step 3: Cross multiply
    1,650.89x = 2,278.25 × 1,061.62
  4. Step 4: Simplify right side
    1,650.89x = 2,418,635.77
  5. Step 5: Solve for x
    x = 2,418,635.77/1,650.89
  6. Step 6: Final answer
    x = 1,465.05

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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.