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Finding the Fourth Proportional to 2,495.72, 3,744.26 and 1,400.88

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Solution

The fourth proportional to 2,495.72, 3,744.26 and 1,400.88 is: 2,101.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.72 : 3,744.26 = 1,400.88 : x
  2. Step 2: Convert to fraction form
    2,495.72/3,744.26 = 1,400.88/x
  3. Step 3: Cross multiply
    2,495.72x = 3,744.26 × 1,400.88
  4. Step 4: Simplify right side
    2,495.72x = 5,245,258.95
  5. Step 5: Solve for x
    x = 5,245,258.95/2,495.72
  6. Step 6: Final answer
    x = 2,101.70

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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.