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Finding the Fourth Proportional to 3,118.29, 4,677.33 and 927.03

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Solution

The fourth proportional to 3,118.29, 4,677.33 and 927.03 is: 1,390.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,118.29 : 4,677.33 = 927.03 : x
  2. Step 2: Convert to fraction form
    3,118.29/4,677.33 = 927.03/x
  3. Step 3: Cross multiply
    3,118.29x = 4,677.33 × 927.03
  4. Step 4: Simplify right side
    3,118.29x = 4,336,025.23
  5. Step 5: Solve for x
    x = 4,336,025.23/3,118.29
  6. Step 6: Final answer
    x = 1,390.51

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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.