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Finding the Fourth Proportional to 2,089.14, 3,133.81 and 529.16

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Solution

The fourth proportional to 2,089.14, 3,133.81 and 529.16 is: 793.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.14 : 3,133.81 = 529.16 : x
  2. Step 2: Convert to fraction form
    2,089.14/3,133.81 = 529.16/x
  3. Step 3: Cross multiply
    2,089.14x = 3,133.81 × 529.16
  4. Step 4: Simplify right side
    2,089.14x = 1,658,286.90
  5. Step 5: Solve for x
    x = 1,658,286.90/2,089.14
  6. Step 6: Final answer
    x = 793.77

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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.