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Finding the Fourth Proportional to 2,652.41, 3,661.30 and 2,277.88

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Solution

The fourth proportional to 2,652.41, 3,661.30 and 2,277.88 is: 3,144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.41 : 3,661.30 = 2,277.88 : x
  2. Step 2: Convert to fraction form
    2,652.41/3,661.30 = 2,277.88/x
  3. Step 3: Cross multiply
    2,652.41x = 3,661.30 × 2,277.88
  4. Step 4: Simplify right side
    2,652.41x = 8,340,002.04
  5. Step 5: Solve for x
    x = 8,340,002.04/2,652.41
  6. Step 6: Final answer
    x = 3,144.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.