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Finding the Fourth Proportional to 3,452.34, 5,178.41 and 987.11

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Solution

The fourth proportional to 3,452.34, 5,178.41 and 987.11 is: 1,480.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.34 : 5,178.41 = 987.11 : x
  2. Step 2: Convert to fraction form
    3,452.34/5,178.41 = 987.11/x
  3. Step 3: Cross multiply
    3,452.34x = 5,178.41 × 987.11
  4. Step 4: Simplify right side
    3,452.34x = 5,111,660.30
  5. Step 5: Solve for x
    x = 5,111,660.30/3,452.34
  6. Step 6: Final answer
    x = 1,480.64

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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.