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Finding the Fourth Proportional to 2,157.79, 3,236.98 and 987.52

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Solution

The fourth proportional to 2,157.79, 3,236.98 and 987.52 is: 1,481.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.79 : 3,236.98 = 987.52 : x
  2. Step 2: Convert to fraction form
    2,157.79/3,236.98 = 987.52/x
  3. Step 3: Cross multiply
    2,157.79x = 3,236.98 × 987.52
  4. Step 4: Simplify right side
    2,157.79x = 3,196,582.49
  5. Step 5: Solve for x
    x = 3,196,582.49/2,157.79
  6. Step 6: Final answer
    x = 1,481.42

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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.