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Finding the Fourth Proportional to 2,286.94, 3,429.73 and 970.68

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Solution

The fourth proportional to 2,286.94, 3,429.73 and 970.68 is: 1,455.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.94 : 3,429.73 = 970.68 : x
  2. Step 2: Convert to fraction form
    2,286.94/3,429.73 = 970.68/x
  3. Step 3: Cross multiply
    2,286.94x = 3,429.73 × 970.68
  4. Step 4: Simplify right side
    2,286.94x = 3,329,158.67
  5. Step 5: Solve for x
    x = 3,329,158.67/2,286.94
  6. Step 6: Final answer
    x = 1,455.73

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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.