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Finding the Fourth Proportional to 1,920.08, 2,881.34 and 1,098.74

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Solution

The fourth proportional to 1,920.08, 2,881.34 and 1,098.74 is: 1,648.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.08 : 2,881.34 = 1,098.74 : x
  2. Step 2: Convert to fraction form
    1,920.08/2,881.34 = 1,098.74/x
  3. Step 3: Cross multiply
    1,920.08x = 2,881.34 × 1,098.74
  4. Step 4: Simplify right side
    1,920.08x = 3,165,843.51
  5. Step 5: Solve for x
    x = 3,165,843.51/1,920.08
  6. Step 6: Final answer
    x = 1,648.81

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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.