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Finding the Fourth Proportional to 2,124.63, 3,186.86 and 564.63

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Solution

The fourth proportional to 2,124.63, 3,186.86 and 564.63 is: 846.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.63 : 3,186.86 = 564.63 : x
  2. Step 2: Convert to fraction form
    2,124.63/3,186.86 = 564.63/x
  3. Step 3: Cross multiply
    2,124.63x = 3,186.86 × 564.63
  4. Step 4: Simplify right side
    2,124.63x = 1,799,396.76
  5. Step 5: Solve for x
    x = 1,799,396.76/2,124.63
  6. Step 6: Final answer
    x = 846.92

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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.