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Finding the Fourth Proportional to 3,261.57, 4,892.30 and 1,313.72

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Solution

The fourth proportional to 3,261.57, 4,892.30 and 1,313.72 is: 1,970.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.57 : 4,892.30 = 1,313.72 : x
  2. Step 2: Convert to fraction form
    3,261.57/4,892.30 = 1,313.72/x
  3. Step 3: Cross multiply
    3,261.57x = 4,892.30 × 1,313.72
  4. Step 4: Simplify right side
    3,261.57x = 6,427,118.02
  5. Step 5: Solve for x
    x = 6,427,118.02/3,261.57
  6. Step 6: Final answer
    x = 1,970.56

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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.