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Finding the Fourth Proportional to 2,059.02, 3,089.61 and 760.86

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Solution

The fourth proportional to 2,059.02, 3,089.61 and 760.86 is: 1,141.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.02 : 3,089.61 = 760.86 : x
  2. Step 2: Convert to fraction form
    2,059.02/3,089.61 = 760.86/x
  3. Step 3: Cross multiply
    2,059.02x = 3,089.61 × 760.86
  4. Step 4: Simplify right side
    2,059.02x = 2,350,760.66
  5. Step 5: Solve for x
    x = 2,350,760.66/2,059.02
  6. Step 6: Final answer
    x = 1,141.69

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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.