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Finding the Fourth Proportional to 2,124.54, 3,186.74 and 564.64

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Solution

The fourth proportional to 2,124.54, 3,186.74 and 564.64 is: 846.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.54 : 3,186.74 = 564.64 : x
  2. Step 2: Convert to fraction form
    2,124.54/3,186.74 = 564.64/x
  3. Step 3: Cross multiply
    2,124.54x = 3,186.74 × 564.64
  4. Step 4: Simplify right side
    2,124.54x = 1,799,360.87
  5. Step 5: Solve for x
    x = 1,799,360.87/2,124.54
  6. Step 6: Final answer
    x = 846.94

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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.