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Finding the Fourth Proportional to 1,425.64, 1,966.18 and 872.68

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Solution

The fourth proportional to 1,425.64, 1,966.18 and 872.68 is: 1,203.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.64 : 1,966.18 = 872.68 : x
  2. Step 2: Convert to fraction form
    1,425.64/1,966.18 = 872.68/x
  3. Step 3: Cross multiply
    1,425.64x = 1,966.18 × 872.68
  4. Step 4: Simplify right side
    1,425.64x = 1,715,845.96
  5. Step 5: Solve for x
    x = 1,715,845.96/1,425.64
  6. Step 6: Final answer
    x = 1,203.56

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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.