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Finding the Fourth Proportional to 2,832.76, 3,909.26 and 1,654.68

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Solution

The fourth proportional to 2,832.76, 3,909.26 and 1,654.68 is: 2,283.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.76 : 3,909.26 = 1,654.68 : x
  2. Step 2: Convert to fraction form
    2,832.76/3,909.26 = 1,654.68/x
  3. Step 3: Cross multiply
    2,832.76x = 3,909.26 × 1,654.68
  4. Step 4: Simplify right side
    2,832.76x = 6,468,574.34
  5. Step 5: Solve for x
    x = 6,468,574.34/2,832.76
  6. Step 6: Final answer
    x = 2,283.49

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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.