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Finding the Fourth Proportional to 2,429.06, 3,643.63 and 697.69

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Solution

The fourth proportional to 2,429.06, 3,643.63 and 697.69 is: 1,046.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.06 : 3,643.63 = 697.69 : x
  2. Step 2: Convert to fraction form
    2,429.06/3,643.63 = 697.69/x
  3. Step 3: Cross multiply
    2,429.06x = 3,643.63 × 697.69
  4. Step 4: Simplify right side
    2,429.06x = 2,542,124.21
  5. Step 5: Solve for x
    x = 2,542,124.21/2,429.06
  6. Step 6: Final answer
    x = 1,046.55

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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.