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Finding the Fourth Proportional to 2,142.64, 3,218.40 and 1,321.28

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Solution

The fourth proportional to 2,142.64, 3,218.40 and 1,321.28 is: 1,984.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.64 : 3,218.40 = 1,321.28 : x
  2. Step 2: Convert to fraction form
    2,142.64/3,218.40 = 1,321.28/x
  3. Step 3: Cross multiply
    2,142.64x = 3,218.40 × 1,321.28
  4. Step 4: Simplify right side
    2,142.64x = 4,252,407.55
  5. Step 5: Solve for x
    x = 4,252,407.55/2,142.64
  6. Step 6: Final answer
    x = 1,984.66

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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.