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Finding the Fourth Proportional to 1,919.42, 2,879.14 and 1,053.26

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Solution

The fourth proportional to 1,919.42, 2,879.14 and 1,053.26 is: 1,579.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.42 : 2,879.14 = 1,053.26 : x
  2. Step 2: Convert to fraction form
    1,919.42/2,879.14 = 1,053.26/x
  3. Step 3: Cross multiply
    1,919.42x = 2,879.14 × 1,053.26
  4. Step 4: Simplify right side
    1,919.42x = 3,032,483.00
  5. Step 5: Solve for x
    x = 3,032,483.00/1,919.42
  6. Step 6: Final answer
    x = 1,579.90

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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.