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Finding the Fourth Proportional to 2,153.48, 3,233.46 and 857.48

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Solution

The fourth proportional to 2,153.48, 3,233.46 and 857.48 is: 1,287.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.48 : 3,233.46 = 857.48 : x
  2. Step 2: Convert to fraction form
    2,153.48/3,233.46 = 857.48/x
  3. Step 3: Cross multiply
    2,153.48x = 3,233.46 × 857.48
  4. Step 4: Simplify right side
    2,153.48x = 2,772,627.28
  5. Step 5: Solve for x
    x = 2,772,627.28/2,153.48
  6. Step 6: Final answer
    x = 1,287.51

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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.