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Finding the Fourth Proportional to 2,451.59, 3,677.64 and 808.26

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Solution

The fourth proportional to 2,451.59, 3,677.64 and 808.26 is: 1,212.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.59 : 3,677.64 = 808.26 : x
  2. Step 2: Convert to fraction form
    2,451.59/3,677.64 = 808.26/x
  3. Step 3: Cross multiply
    2,451.59x = 3,677.64 × 808.26
  4. Step 4: Simplify right side
    2,451.59x = 2,972,489.31
  5. Step 5: Solve for x
    x = 2,972,489.31/2,451.59
  6. Step 6: Final answer
    x = 1,212.48

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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.