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Finding the Fourth Proportional to 1,650.59, 2,473.44 and 919.16

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Solution

The fourth proportional to 1,650.59, 2,473.44 and 919.16 is: 1,377.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.59 : 2,473.44 = 919.16 : x
  2. Step 2: Convert to fraction form
    1,650.59/2,473.44 = 919.16/x
  3. Step 3: Cross multiply
    1,650.59x = 2,473.44 × 919.16
  4. Step 4: Simplify right side
    1,650.59x = 2,273,487.11
  5. Step 5: Solve for x
    x = 2,273,487.11/1,650.59
  6. Step 6: Final answer
    x = 1,377.38

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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.