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Finding the Fourth Proportional to 2,531.86, 3,796.07 and 888.19

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Solution

The fourth proportional to 2,531.86, 3,796.07 and 888.19 is: 1,331.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.86 : 3,796.07 = 888.19 : x
  2. Step 2: Convert to fraction form
    2,531.86/3,796.07 = 888.19/x
  3. Step 3: Cross multiply
    2,531.86x = 3,796.07 × 888.19
  4. Step 4: Simplify right side
    2,531.86x = 3,371,617.48
  5. Step 5: Solve for x
    x = 3,371,617.48/2,531.86
  6. Step 6: Final answer
    x = 1,331.68

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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.