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Finding the Fourth Proportional to 1,920.51, 2,879.33 and 1,055.07

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Solution

The fourth proportional to 1,920.51, 2,879.33 and 1,055.07 is: 1,581.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.51 : 2,879.33 = 1,055.07 : x
  2. Step 2: Convert to fraction form
    1,920.51/2,879.33 = 1,055.07/x
  3. Step 3: Cross multiply
    1,920.51x = 2,879.33 × 1,055.07
  4. Step 4: Simplify right side
    1,920.51x = 3,037,889.43
  5. Step 5: Solve for x
    x = 3,037,889.43/1,920.51
  6. Step 6: Final answer
    x = 1,581.81

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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.