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Finding the Fourth Proportional to 2,953.95, 4,429.98 and 979.22

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Solution

The fourth proportional to 2,953.95, 4,429.98 and 979.22 is: 1,468.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.95 : 4,429.98 = 979.22 : x
  2. Step 2: Convert to fraction form
    2,953.95/4,429.98 = 979.22/x
  3. Step 3: Cross multiply
    2,953.95x = 4,429.98 × 979.22
  4. Step 4: Simplify right side
    2,953.95x = 4,337,902.87
  5. Step 5: Solve for x
    x = 4,337,902.87/2,953.95
  6. Step 6: Final answer
    x = 1,468.51

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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.