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Finding the Fourth Proportional to 3,261.61, 4,892.60 and 1,313.56

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Solution

The fourth proportional to 3,261.61, 4,892.60 and 1,313.56 is: 1,970.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.61 : 4,892.60 = 1,313.56 : x
  2. Step 2: Convert to fraction form
    3,261.61/4,892.60 = 1,313.56/x
  3. Step 3: Cross multiply
    3,261.61x = 4,892.60 × 1,313.56
  4. Step 4: Simplify right side
    3,261.61x = 6,426,723.66
  5. Step 5: Solve for x
    x = 6,426,723.66/3,261.61
  6. Step 6: Final answer
    x = 1,970.41

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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.