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Finding the Fourth Proportional to 1,832.88, 2,529.16 and 1,086.68

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Solution

The fourth proportional to 1,832.88, 2,529.16 and 1,086.68 is: 1,499.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.88 : 2,529.16 = 1,086.68 : x
  2. Step 2: Convert to fraction form
    1,832.88/2,529.16 = 1,086.68/x
  3. Step 3: Cross multiply
    1,832.88x = 2,529.16 × 1,086.68
  4. Step 4: Simplify right side
    1,832.88x = 2,748,387.59
  5. Step 5: Solve for x
    x = 2,748,387.59/1,832.88
  6. Step 6: Final answer
    x = 1,499.49

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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.