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Finding the Fourth Proportional to 1,321.15, 1,821.69 and 988.51

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Solution

The fourth proportional to 1,321.15, 1,821.69 and 988.51 is: 1,363.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.15 : 1,821.69 = 988.51 : x
  2. Step 2: Convert to fraction form
    1,321.15/1,821.69 = 988.51/x
  3. Step 3: Cross multiply
    1,321.15x = 1,821.69 × 988.51
  4. Step 4: Simplify right side
    1,321.15x = 1,800,744.73
  5. Step 5: Solve for x
    x = 1,800,744.73/1,321.15
  6. Step 6: Final answer
    x = 1,363.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.