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Finding the Fourth Proportional to 3,134.16, 4,698.07 and 1,964.98

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Solution

The fourth proportional to 3,134.16, 4,698.07 and 1,964.98 is: 2,945.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.16 : 4,698.07 = 1,964.98 : x
  2. Step 2: Convert to fraction form
    3,134.16/4,698.07 = 1,964.98/x
  3. Step 3: Cross multiply
    3,134.16x = 4,698.07 × 1,964.98
  4. Step 4: Simplify right side
    3,134.16x = 9,231,622.84
  5. Step 5: Solve for x
    x = 9,231,622.84/3,134.16
  6. Step 6: Final answer
    x = 2,945.49

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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.