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Finding the Fourth Proportional to 2,286.87, 3,430.66 and 970.62

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Solution

The fourth proportional to 2,286.87, 3,430.66 and 970.62 is: 1,456.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.87 : 3,430.66 = 970.62 : x
  2. Step 2: Convert to fraction form
    2,286.87/3,430.66 = 970.62/x
  3. Step 3: Cross multiply
    2,286.87x = 3,430.66 × 970.62
  4. Step 4: Simplify right side
    2,286.87x = 3,329,867.21
  5. Step 5: Solve for x
    x = 3,329,867.21/2,286.87
  6. Step 6: Final answer
    x = 1,456.08

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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.