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Finding the Fourth Proportional to 2,953.77, 4,429.74 and 979.05

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Solution

The fourth proportional to 2,953.77, 4,429.74 and 979.05 is: 1,468.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.77 : 4,429.74 = 979.05 : x
  2. Step 2: Convert to fraction form
    2,953.77/4,429.74 = 979.05/x
  3. Step 3: Cross multiply
    2,953.77x = 4,429.74 × 979.05
  4. Step 4: Simplify right side
    2,953.77x = 4,336,936.95
  5. Step 5: Solve for x
    x = 4,336,936.95/2,953.77
  6. Step 6: Final answer
    x = 1,468.27

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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.