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Finding the Fourth Proportional to 2,297.98, 3,447.51 and 654.55

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Solution

The fourth proportional to 2,297.98, 3,447.51 and 654.55 is: 981.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.98 : 3,447.51 = 654.55 : x
  2. Step 2: Convert to fraction form
    2,297.98/3,447.51 = 654.55/x
  3. Step 3: Cross multiply
    2,297.98x = 3,447.51 × 654.55
  4. Step 4: Simplify right side
    2,297.98x = 2,256,556.60
  5. Step 5: Solve for x
    x = 2,256,556.60/2,297.98
  6. Step 6: Final answer
    x = 981.98

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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.