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Finding the Fourth Proportional to 2,486.61, 3,727.26 and 925.59

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Solution

The fourth proportional to 2,486.61, 3,727.26 and 925.59 is: 1,387.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.61 : 3,727.26 = 925.59 : x
  2. Step 2: Convert to fraction form
    2,486.61/3,727.26 = 925.59/x
  3. Step 3: Cross multiply
    2,486.61x = 3,727.26 × 925.59
  4. Step 4: Simplify right side
    2,486.61x = 3,449,914.58
  5. Step 5: Solve for x
    x = 3,449,914.58/2,486.61
  6. Step 6: Final answer
    x = 1,387.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.