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Finding the Fourth Proportional to 1,550.61, 2,142.65 and 1,107.74

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Solution

The fourth proportional to 1,550.61, 2,142.65 and 1,107.74 is: 1,530.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.61 : 2,142.65 = 1,107.74 : x
  2. Step 2: Convert to fraction form
    1,550.61/2,142.65 = 1,107.74/x
  3. Step 3: Cross multiply
    1,550.61x = 2,142.65 × 1,107.74
  4. Step 4: Simplify right side
    1,550.61x = 2,373,507.24
  5. Step 5: Solve for x
    x = 2,373,507.24/1,550.61
  6. Step 6: Final answer
    x = 1,530.69

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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.