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Finding the Fourth Proportional to 1,552.48, 2,143.34 and 963.34

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Solution

The fourth proportional to 1,552.48, 2,143.34 and 963.34 is: 1,329.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.48 : 2,143.34 = 963.34 : x
  2. Step 2: Convert to fraction form
    1,552.48/2,143.34 = 963.34/x
  3. Step 3: Cross multiply
    1,552.48x = 2,143.34 × 963.34
  4. Step 4: Simplify right side
    1,552.48x = 2,064,760.34
  5. Step 5: Solve for x
    x = 2,064,760.34/1,552.48
  6. Step 6: Final answer
    x = 1,329.98

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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.