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Finding the Fourth Proportional to 1,481.78, 2,045.40 and 922.34

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Solution

The fourth proportional to 1,481.78, 2,045.40 and 922.34 is: 1,273.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.78 : 2,045.40 = 922.34 : x
  2. Step 2: Convert to fraction form
    1,481.78/2,045.40 = 922.34/x
  3. Step 3: Cross multiply
    1,481.78x = 2,045.40 × 922.34
  4. Step 4: Simplify right side
    1,481.78x = 1,886,554.24
  5. Step 5: Solve for x
    x = 1,886,554.24/1,481.78
  6. Step 6: Final answer
    x = 1,273.17

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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.