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Finding the Fourth Proportional to 2,531.67, 3,794.91 and 971.25

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Solution

The fourth proportional to 2,531.67, 3,794.91 and 971.25 is: 1,455.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.67 : 3,794.91 = 971.25 : x
  2. Step 2: Convert to fraction form
    2,531.67/3,794.91 = 971.25/x
  3. Step 3: Cross multiply
    2,531.67x = 3,794.91 × 971.25
  4. Step 4: Simplify right side
    2,531.67x = 3,685,806.34
  5. Step 5: Solve for x
    x = 3,685,806.34/2,531.67
  6. Step 6: Final answer
    x = 1,455.88

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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.