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Finding the Fourth Proportional to 2,429.74, 3,645.14 and 786.45

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Solution

The fourth proportional to 2,429.74, 3,645.14 and 786.45 is: 1,179.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.74 : 3,645.14 = 786.45 : x
  2. Step 2: Convert to fraction form
    2,429.74/3,645.14 = 786.45/x
  3. Step 3: Cross multiply
    2,429.74x = 3,645.14 × 786.45
  4. Step 4: Simplify right side
    2,429.74x = 2,866,716.42
  5. Step 5: Solve for x
    x = 2,866,716.42/2,429.74
  6. Step 6: Final answer
    x = 1,179.85

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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.