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Finding the Fourth Proportional to 2,349.64, 3,525.54 and 1,738.50

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Solution

The fourth proportional to 2,349.64, 3,525.54 and 1,738.50 is: 2,608.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.64 : 3,525.54 = 1,738.50 : x
  2. Step 2: Convert to fraction form
    2,349.64/3,525.54 = 1,738.50/x
  3. Step 3: Cross multiply
    2,349.64x = 3,525.54 × 1,738.50
  4. Step 4: Simplify right side
    2,349.64x = 6,129,151.29
  5. Step 5: Solve for x
    x = 6,129,151.29/2,349.64
  6. Step 6: Final answer
    x = 2,608.55

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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.