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Finding the Fourth Proportional to 2,843.76, 3,924.54 and 1,664.76

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Solution

The fourth proportional to 2,843.76, 3,924.54 and 1,664.76 is: 2,297.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.76 : 3,924.54 = 1,664.76 : x
  2. Step 2: Convert to fraction form
    2,843.76/3,924.54 = 1,664.76/x
  3. Step 3: Cross multiply
    2,843.76x = 3,924.54 × 1,664.76
  4. Step 4: Simplify right side
    2,843.76x = 6,533,417.21
  5. Step 5: Solve for x
    x = 6,533,417.21/2,843.76
  6. Step 6: Final answer
    x = 2,297.46

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1.5x scale

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.