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Finding the Fourth Proportional to 1,552.44, 2,142.24 and 962.76

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Solution

The fourth proportional to 1,552.44, 2,142.24 and 962.76 is: 1,328.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.44 : 2,142.24 = 962.76 : x
  2. Step 2: Convert to fraction form
    1,552.44/2,142.24 = 962.76/x
  3. Step 3: Cross multiply
    1,552.44x = 2,142.24 × 962.76
  4. Step 4: Simplify right side
    1,552.44x = 2,062,462.98
  5. Step 5: Solve for x
    x = 2,062,462.98/1,552.44
  6. Step 6: Final answer
    x = 1,328.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.