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Finding the Fourth Proportional to 2,693.84, 3,717.24 and 1,646.96

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Solution

The fourth proportional to 2,693.84, 3,717.24 and 1,646.96 is: 2,272.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.84 : 3,717.24 = 1,646.96 : x
  2. Step 2: Convert to fraction form
    2,693.84/3,717.24 = 1,646.96/x
  3. Step 3: Cross multiply
    2,693.84x = 3,717.24 × 1,646.96
  4. Step 4: Simplify right side
    2,693.84x = 6,122,145.59
  5. Step 5: Solve for x
    x = 6,122,145.59/2,693.84
  6. Step 6: Final answer
    x = 2,272.65

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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.