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Finding the Fourth Proportional to 1,564.43, 2,346.64 and 742.28

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Solution

The fourth proportional to 1,564.43, 2,346.64 and 742.28 is: 1,113.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.43 : 2,346.64 = 742.28 : x
  2. Step 2: Convert to fraction form
    1,564.43/2,346.64 = 742.28/x
  3. Step 3: Cross multiply
    1,564.43x = 2,346.64 × 742.28
  4. Step 4: Simplify right side
    1,564.43x = 1,741,850.35
  5. Step 5: Solve for x
    x = 1,741,850.35/1,564.43
  6. Step 6: Final answer
    x = 1,113.41

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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.