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Finding the Fourth Proportional to 2,347.45, 3,523.74 and 1,729.24

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Solution

The fourth proportional to 2,347.45, 3,523.74 and 1,729.24 is: 2,595.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.45 : 3,523.74 = 1,729.24 : x
  2. Step 2: Convert to fraction form
    2,347.45/3,523.74 = 1,729.24/x
  3. Step 3: Cross multiply
    2,347.45x = 3,523.74 × 1,729.24
  4. Step 4: Simplify right side
    2,347.45x = 6,093,392.16
  5. Step 5: Solve for x
    x = 6,093,392.16/2,347.45
  6. Step 6: Final answer
    x = 2,595.75

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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.