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Finding the Fourth Proportional to 3,261.74, 4,892.54 and 1,313.90

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Solution

The fourth proportional to 3,261.74, 4,892.54 and 1,313.90 is: 1,970.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.74 : 4,892.54 = 1,313.90 : x
  2. Step 2: Convert to fraction form
    3,261.74/4,892.54 = 1,313.90/x
  3. Step 3: Cross multiply
    3,261.74x = 4,892.54 × 1,313.90
  4. Step 4: Simplify right side
    3,261.74x = 6,428,287.13
  5. Step 5: Solve for x
    x = 6,428,287.13/3,261.74
  6. Step 6: Final answer
    x = 1,970.82

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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.