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Finding the Fourth Proportional to 2,645.34, 3,967.80 and 697.53

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Solution

The fourth proportional to 2,645.34, 3,967.80 and 697.53 is: 1,046.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.34 : 3,967.80 = 697.53 : x
  2. Step 2: Convert to fraction form
    2,645.34/3,967.80 = 697.53/x
  3. Step 3: Cross multiply
    2,645.34x = 3,967.80 × 697.53
  4. Step 4: Simplify right side
    2,645.34x = 2,767,659.53
  5. Step 5: Solve for x
    x = 2,767,659.53/2,645.34
  6. Step 6: Final answer
    x = 1,046.24

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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.