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Finding the Fourth Proportional to 1,919.40, 2,879.28 and 1,591.08

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Solution

The fourth proportional to 1,919.40, 2,879.28 and 1,591.08 is: 2,386.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.40 : 2,879.28 = 1,591.08 : x
  2. Step 2: Convert to fraction form
    1,919.40/2,879.28 = 1,591.08/x
  3. Step 3: Cross multiply
    1,919.40x = 2,879.28 × 1,591.08
  4. Step 4: Simplify right side
    1,919.40x = 4,581,164.82
  5. Step 5: Solve for x
    x = 4,581,164.82/1,919.40
  6. Step 6: Final answer
    x = 2,386.77

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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.