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Finding the Fourth Proportional to 3,261.82, 4,892.72 and 953.32

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Solution

The fourth proportional to 3,261.82, 4,892.72 and 953.32 is: 1,429.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.82 : 4,892.72 = 953.32 : x
  2. Step 2: Convert to fraction form
    3,261.82/4,892.72 = 953.32/x
  3. Step 3: Cross multiply
    3,261.82x = 4,892.72 × 953.32
  4. Step 4: Simplify right side
    3,261.82x = 4,664,327.83
  5. Step 5: Solve for x
    x = 4,664,327.83/3,261.82
  6. Step 6: Final answer
    x = 1,429.98

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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.