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Finding the Fourth Proportional to 2,758.47, 4,130.39 and 1,661.33

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Solution

The fourth proportional to 2,758.47, 4,130.39 and 1,661.33 is: 2,487.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.47 : 4,130.39 = 1,661.33 : x
  2. Step 2: Convert to fraction form
    2,758.47/4,130.39 = 1,661.33/x
  3. Step 3: Cross multiply
    2,758.47x = 4,130.39 × 1,661.33
  4. Step 4: Simplify right side
    2,758.47x = 6,861,911.86
  5. Step 5: Solve for x
    x = 6,861,911.86/2,758.47
  6. Step 6: Final answer
    x = 2,487.58

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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.