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Finding the Fourth Proportional to 2,911.68, 4,369.82 and 1,064.61

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Solution

The fourth proportional to 2,911.68, 4,369.82 and 1,064.61 is: 1,597.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.68 : 4,369.82 = 1,064.61 : x
  2. Step 2: Convert to fraction form
    2,911.68/4,369.82 = 1,064.61/x
  3. Step 3: Cross multiply
    2,911.68x = 4,369.82 × 1,064.61
  4. Step 4: Simplify right side
    2,911.68x = 4,652,148.75
  5. Step 5: Solve for x
    x = 4,652,148.75/2,911.68
  6. Step 6: Final answer
    x = 1,597.75

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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.