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Finding the Fourth Proportional to 1,553.34, 2,143.51 and 923.84

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Solution

The fourth proportional to 1,553.34, 2,143.51 and 923.84 is: 1,274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.34 : 2,143.51 = 923.84 : x
  2. Step 2: Convert to fraction form
    1,553.34/2,143.51 = 923.84/x
  3. Step 3: Cross multiply
    1,553.34x = 2,143.51 × 923.84
  4. Step 4: Simplify right side
    1,553.34x = 1,980,247.25
  5. Step 5: Solve for x
    x = 1,980,247.25/1,553.34
  6. Step 6: Final answer
    x = 1,274.83

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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.