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Finding the Fourth Proportional to 2,124.15, 3,186.14 and 564.17

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Solution

The fourth proportional to 2,124.15, 3,186.14 and 564.17 is: 846.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.15 : 3,186.14 = 564.17 : x
  2. Step 2: Convert to fraction form
    2,124.15/3,186.14 = 564.17/x
  3. Step 3: Cross multiply
    2,124.15x = 3,186.14 × 564.17
  4. Step 4: Simplify right side
    2,124.15x = 1,797,524.60
  5. Step 5: Solve for x
    x = 1,797,524.60/2,124.15
  6. Step 6: Final answer
    x = 846.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.