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Finding the Fourth Proportional to 2,417.72, 3,334.38 and 1,722.20

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Solution

The fourth proportional to 2,417.72, 3,334.38 and 1,722.20 is: 2,375.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.72 : 3,334.38 = 1,722.20 : x
  2. Step 2: Convert to fraction form
    2,417.72/3,334.38 = 1,722.20/x
  3. Step 3: Cross multiply
    2,417.72x = 3,334.38 × 1,722.20
  4. Step 4: Simplify right side
    2,417.72x = 5,742,469.24
  5. Step 5: Solve for x
    x = 5,742,469.24/2,417.72
  6. Step 6: Final answer
    x = 2,375.16

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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.