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Finding the Fourth Proportional to 2,607.47, 3,911.33 and 659.69

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Solution

The fourth proportional to 2,607.47, 3,911.33 and 659.69 is: 989.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.47 : 3,911.33 = 659.69 : x
  2. Step 2: Convert to fraction form
    2,607.47/3,911.33 = 659.69/x
  3. Step 3: Cross multiply
    2,607.47x = 3,911.33 × 659.69
  4. Step 4: Simplify right side
    2,607.47x = 2,580,247.38
  5. Step 5: Solve for x
    x = 2,580,247.38/2,607.47
  6. Step 6: Final answer
    x = 989.56

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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.