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Finding the Fourth Proportional to 1,321.83, 1,821.62 and 967.86

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Solution

The fourth proportional to 1,321.83, 1,821.62 and 967.86 is: 1,333.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.83 : 1,821.62 = 967.86 : x
  2. Step 2: Convert to fraction form
    1,321.83/1,821.62 = 967.86/x
  3. Step 3: Cross multiply
    1,321.83x = 1,821.62 × 967.86
  4. Step 4: Simplify right side
    1,321.83x = 1,763,075.12
  5. Step 5: Solve for x
    x = 1,763,075.12/1,321.83
  6. Step 6: Final answer
    x = 1,333.81

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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.