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Finding the Fourth Proportional to 3,153.10, 4,729.65 and 844.60

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Solution

The fourth proportional to 3,153.10, 4,729.65 and 844.60 is: 1,266.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.10 : 4,729.65 = 844.60 : x
  2. Step 2: Convert to fraction form
    3,153.10/4,729.65 = 844.60/x
  3. Step 3: Cross multiply
    3,153.10x = 4,729.65 × 844.60
  4. Step 4: Simplify right side
    3,153.10x = 3,994,662.39
  5. Step 5: Solve for x
    x = 3,994,662.39/3,153.10
  6. Step 6: Final answer
    x = 1,266.90

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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.