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Finding the Fourth Proportional to 2,652.74, 3,979.09 and 1,466.72

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Solution

The fourth proportional to 2,652.74, 3,979.09 and 1,466.72 is: 2,200.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.74 : 3,979.09 = 1,466.72 : x
  2. Step 2: Convert to fraction form
    2,652.74/3,979.09 = 1,466.72/x
  3. Step 3: Cross multiply
    2,652.74x = 3,979.09 × 1,466.72
  4. Step 4: Simplify right side
    2,652.74x = 5,836,210.88
  5. Step 5: Solve for x
    x = 5,836,210.88/2,652.74
  6. Step 6: Final answer
    x = 2,200.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.