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Finding the Fourth Proportional to 2,377.71, 3,564.63 and 992.09

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Solution

The fourth proportional to 2,377.71, 3,564.63 and 992.09 is: 1,487.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.71 : 3,564.63 = 992.09 : x
  2. Step 2: Convert to fraction form
    2,377.71/3,564.63 = 992.09/x
  3. Step 3: Cross multiply
    2,377.71x = 3,564.63 × 992.09
  4. Step 4: Simplify right side
    2,377.71x = 3,536,415.95
  5. Step 5: Solve for x
    x = 3,536,415.95/2,377.71
  6. Step 6: Final answer
    x = 1,487.32

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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.