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Finding the Fourth Proportional to 1,919.55, 2,649.42 and 1,123.24

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Solution

The fourth proportional to 1,919.55, 2,649.42 and 1,123.24 is: 1,550.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.55 : 2,649.42 = 1,123.24 : x
  2. Step 2: Convert to fraction form
    1,919.55/2,649.42 = 1,123.24/x
  3. Step 3: Cross multiply
    1,919.55x = 2,649.42 × 1,123.24
  4. Step 4: Simplify right side
    1,919.55x = 2,975,934.52
  5. Step 5: Solve for x
    x = 2,975,934.52/1,919.55
  6. Step 6: Final answer
    x = 1,550.33

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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.