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Finding the Fourth Proportional to 2,321.85, 3,498.75 and 1,920.03

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Solution

The fourth proportional to 2,321.85, 3,498.75 and 1,920.03 is: 2,893.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.85 : 3,498.75 = 1,920.03 : x
  2. Step 2: Convert to fraction form
    2,321.85/3,498.75 = 1,920.03/x
  3. Step 3: Cross multiply
    2,321.85x = 3,498.75 × 1,920.03
  4. Step 4: Simplify right side
    2,321.85x = 6,717,704.96
  5. Step 5: Solve for x
    x = 6,717,704.96/2,321.85
  6. Step 6: Final answer
    x = 2,893.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.