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Finding the Fourth Proportional to 1,919.61, 2,649.60 and 1,134.09

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Solution

The fourth proportional to 1,919.61, 2,649.60 and 1,134.09 is: 1,565.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.61 : 2,649.60 = 1,134.09 : x
  2. Step 2: Convert to fraction form
    1,919.61/2,649.60 = 1,134.09/x
  3. Step 3: Cross multiply
    1,919.61x = 2,649.60 × 1,134.09
  4. Step 4: Simplify right side
    1,919.61x = 3,004,884.86
  5. Step 5: Solve for x
    x = 3,004,884.86/1,919.61
  6. Step 6: Final answer
    x = 1,565.36

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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.