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Finding the Fourth Proportional to 2,286.53, 3,429.96 and 970.57

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Solution

The fourth proportional to 2,286.53, 3,429.96 and 970.57 is: 1,455.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.53 : 3,429.96 = 970.57 : x
  2. Step 2: Convert to fraction form
    2,286.53/3,429.96 = 970.57/x
  3. Step 3: Cross multiply
    2,286.53x = 3,429.96 × 970.57
  4. Step 4: Simplify right side
    2,286.53x = 3,329,016.28
  5. Step 5: Solve for x
    x = 3,329,016.28/2,286.53
  6. Step 6: Final answer
    x = 1,455.93

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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.