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Finding the Fourth Proportional to 2,089.67, 3,134.40 and 529.71

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Solution

The fourth proportional to 2,089.67, 3,134.40 and 529.71 is: 794.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.67 : 3,134.40 = 529.71 : x
  2. Step 2: Convert to fraction form
    2,089.67/3,134.40 = 529.71/x
  3. Step 3: Cross multiply
    2,089.67x = 3,134.40 × 529.71
  4. Step 4: Simplify right side
    2,089.67x = 1,660,323.02
  5. Step 5: Solve for x
    x = 1,660,323.02/2,089.67
  6. Step 6: Final answer
    x = 794.54

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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.