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Finding the Fourth Proportional to 2,059.20, 3,088 and 742.56

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Solution

The fourth proportional to 2,059.20, 3,088 and 742.56 is: 1,113.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.20 : 3,088 = 742.56 : x
  2. Step 2: Convert to fraction form
    2,059.20/3,088 = 742.56/x
  3. Step 3: Cross multiply
    2,059.20x = 3,088 × 742.56
  4. Step 4: Simplify right side
    2,059.20x = 2,293,025.28
  5. Step 5: Solve for x
    x = 2,293,025.28/2,059.20
  6. Step 6: Final answer
    x = 1,113.55

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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.