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Finding the Fourth Proportional to 2,910.68, 4,366.64 and 964.24

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Solution

The fourth proportional to 2,910.68, 4,366.64 and 964.24 is: 1,446.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910.68 : 4,366.64 = 964.24 : x
  2. Step 2: Convert to fraction form
    2,910.68/4,366.64 = 964.24/x
  3. Step 3: Cross multiply
    2,910.68x = 4,366.64 × 964.24
  4. Step 4: Simplify right side
    2,910.68x = 4,210,488.95
  5. Step 5: Solve for x
    x = 4,210,488.95/2,910.68
  6. Step 6: Final answer
    x = 1,446.57

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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.