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Finding the Fourth Proportional to 3,341, 4,610.92 and 1,924.74

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Solution

The fourth proportional to 3,341, 4,610.92 and 1,924.74 is: 2,656.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,341 : 4,610.92 = 1,924.74 : x
  2. Step 2: Convert to fraction form
    3,341/4,610.92 = 1,924.74/x
  3. Step 3: Cross multiply
    3,341x = 4,610.92 × 1,924.74
  4. Step 4: Simplify right side
    3,341x = 8,874,822.16
  5. Step 5: Solve for x
    x = 8,874,822.16/3,341
  6. Step 6: Final answer
    x = 2,656.34

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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.