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Finding the Fourth Proportional to 2,302.35, 3,453.99 and 742.56

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Solution

The fourth proportional to 2,302.35, 3,453.99 and 742.56 is: 1,113.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.35 : 3,453.99 = 742.56 : x
  2. Step 2: Convert to fraction form
    2,302.35/3,453.99 = 742.56/x
  3. Step 3: Cross multiply
    2,302.35x = 3,453.99 × 742.56
  4. Step 4: Simplify right side
    2,302.35x = 2,564,794.81
  5. Step 5: Solve for x
    x = 2,564,794.81/2,302.35
  6. Step 6: Final answer
    x = 1,113.99

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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.