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Finding the Fourth Proportional to 2,089.72, 3,134.61 and 529.69

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Solution

The fourth proportional to 2,089.72, 3,134.61 and 529.69 is: 794.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.72 : 3,134.61 = 529.69 : x
  2. Step 2: Convert to fraction form
    2,089.72/3,134.61 = 529.69/x
  3. Step 3: Cross multiply
    2,089.72x = 3,134.61 × 529.69
  4. Step 4: Simplify right side
    2,089.72x = 1,660,355.86
  5. Step 5: Solve for x
    x = 1,660,355.86/2,089.72
  6. Step 6: Final answer
    x = 794.53

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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.