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Finding the Fourth Proportional to 2,945.54, 4,064.92 and 1,686.48

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Solution

The fourth proportional to 2,945.54, 4,064.92 and 1,686.48 is: 2,327.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.54 : 4,064.92 = 1,686.48 : x
  2. Step 2: Convert to fraction form
    2,945.54/4,064.92 = 1,686.48/x
  3. Step 3: Cross multiply
    2,945.54x = 4,064.92 × 1,686.48
  4. Step 4: Simplify right side
    2,945.54x = 6,855,406.28
  5. Step 5: Solve for x
    x = 6,855,406.28/2,945.54
  6. Step 6: Final answer
    x = 2,327.39

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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.