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Finding the Fourth Proportional to 2,134.79, 3,202.19 and 674.06

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Solution

The fourth proportional to 2,134.79, 3,202.19 and 674.06 is: 1,011.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.79 : 3,202.19 = 674.06 : x
  2. Step 2: Convert to fraction form
    2,134.79/3,202.19 = 674.06/x
  3. Step 3: Cross multiply
    2,134.79x = 3,202.19 × 674.06
  4. Step 4: Simplify right side
    2,134.79x = 2,158,448.81
  5. Step 5: Solve for x
    x = 2,158,448.81/2,134.79
  6. Step 6: Final answer
    x = 1,011.08

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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.