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Finding the Fourth Proportional to 1,323.22, 1,987.08 and 1,103.62

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Solution

The fourth proportional to 1,323.22, 1,987.08 and 1,103.62 is: 1,657.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.22 : 1,987.08 = 1,103.62 : x
  2. Step 2: Convert to fraction form
    1,323.22/1,987.08 = 1,103.62/x
  3. Step 3: Cross multiply
    1,323.22x = 1,987.08 × 1,103.62
  4. Step 4: Simplify right side
    1,323.22x = 2,192,981.23
  5. Step 5: Solve for x
    x = 2,192,981.23/1,323.22
  6. Step 6: Final answer
    x = 1,657.31

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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.