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Finding the Fourth Proportional to 2,652, 3,659.88 and 1,722.12

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Solution

The fourth proportional to 2,652, 3,659.88 and 1,722.12 is: 2,376.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652 : 3,659.88 = 1,722.12 : x
  2. Step 2: Convert to fraction form
    2,652/3,659.88 = 1,722.12/x
  3. Step 3: Cross multiply
    2,652x = 3,659.88 × 1,722.12
  4. Step 4: Simplify right side
    2,652x = 6,302,752.55
  5. Step 5: Solve for x
    x = 6,302,752.55/2,652
  6. Step 6: Final answer
    x = 2,376.60

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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.