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Finding the Fourth Proportional to 2,157.63, 3,235.41 and 987.27

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Solution

The fourth proportional to 2,157.63, 3,235.41 and 987.27 is: 1,480.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.63 : 3,235.41 = 987.27 : x
  2. Step 2: Convert to fraction form
    2,157.63/3,235.41 = 987.27/x
  3. Step 3: Cross multiply
    2,157.63x = 3,235.41 × 987.27
  4. Step 4: Simplify right side
    2,157.63x = 3,194,223.23
  5. Step 5: Solve for x
    x = 3,194,223.23/2,157.63
  6. Step 6: Final answer
    x = 1,480.43

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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.