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Finding the Fourth Proportional to 2,431.02, 3,644.73 and 969.06

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Solution

The fourth proportional to 2,431.02, 3,644.73 and 969.06 is: 1,452.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.02 : 3,644.73 = 969.06 : x
  2. Step 2: Convert to fraction form
    2,431.02/3,644.73 = 969.06/x
  3. Step 3: Cross multiply
    2,431.02x = 3,644.73 × 969.06
  4. Step 4: Simplify right side
    2,431.02x = 3,531,962.05
  5. Step 5: Solve for x
    x = 3,531,962.05/2,431.02
  6. Step 6: Final answer
    x = 1,452.87

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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.