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Finding the Fourth Proportional to 2,926.50, 4,390.23 and 979.17

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Solution

The fourth proportional to 2,926.50, 4,390.23 and 979.17 is: 1,468.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,926.50 : 4,390.23 = 979.17 : x
  2. Step 2: Convert to fraction form
    2,926.50/4,390.23 = 979.17/x
  3. Step 3: Cross multiply
    2,926.50x = 4,390.23 × 979.17
  4. Step 4: Simplify right side
    2,926.50x = 4,298,781.51
  5. Step 5: Solve for x
    x = 4,298,781.51/2,926.50
  6. Step 6: Final answer
    x = 1,468.92

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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.