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Finding the Fourth Proportional to 2,792.82, 3,854.79 and 1,614.63

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Solution

The fourth proportional to 2,792.82, 3,854.79 and 1,614.63 is: 2,228.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.82 : 3,854.79 = 1,614.63 : x
  2. Step 2: Convert to fraction form
    2,792.82/3,854.79 = 1,614.63/x
  3. Step 3: Cross multiply
    2,792.82x = 3,854.79 × 1,614.63
  4. Step 4: Simplify right side
    2,792.82x = 6,224,059.58
  5. Step 5: Solve for x
    x = 6,224,059.58/2,792.82
  6. Step 6: Final answer
    x = 2,228.59

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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.