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Finding the Fourth Proportional to 2,170.26, 3,256.06 and 631.26

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Solution

The fourth proportional to 2,170.26, 3,256.06 and 631.26 is: 947.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.26 : 3,256.06 = 631.26 : x
  2. Step 2: Convert to fraction form
    2,170.26/3,256.06 = 631.26/x
  3. Step 3: Cross multiply
    2,170.26x = 3,256.06 × 631.26
  4. Step 4: Simplify right side
    2,170.26x = 2,055,420.44
  5. Step 5: Solve for x
    x = 2,055,420.44/2,170.26
  6. Step 6: Final answer
    x = 947.08

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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.