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Finding the Fourth Proportional to 2,124.28, 3,186.58 and 564.32

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Solution

The fourth proportional to 2,124.28, 3,186.58 and 564.32 is: 846.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.28 : 3,186.58 = 564.32 : x
  2. Step 2: Convert to fraction form
    2,124.28/3,186.58 = 564.32/x
  3. Step 3: Cross multiply
    2,124.28x = 3,186.58 × 564.32
  4. Step 4: Simplify right side
    2,124.28x = 1,798,250.83
  5. Step 5: Solve for x
    x = 1,798,250.83/2,124.28
  6. Step 6: Final answer
    x = 846.52

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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.