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Finding the Fourth Proportional to 2,286.95, 3,429.73 and 970.67

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Solution

The fourth proportional to 2,286.95, 3,429.73 and 970.67 is: 1,455.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.95 : 3,429.73 = 970.67 : x
  2. Step 2: Convert to fraction form
    2,286.95/3,429.73 = 970.67/x
  3. Step 3: Cross multiply
    2,286.95x = 3,429.73 × 970.67
  4. Step 4: Simplify right side
    2,286.95x = 3,329,142.17
  5. Step 5: Solve for x
    x = 3,329,142.17/2,286.95
  6. Step 6: Final answer
    x = 1,455.72

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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.