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Finding the Fourth Proportional to 2,287.50, 3,431.27 and 644.01

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Solution

The fourth proportional to 2,287.50, 3,431.27 and 644.01 is: 966.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.50 : 3,431.27 = 644.01 : x
  2. Step 2: Convert to fraction form
    2,287.50/3,431.27 = 644.01/x
  3. Step 3: Cross multiply
    2,287.50x = 3,431.27 × 644.01
  4. Step 4: Simplify right side
    2,287.50x = 2,209,772.19
  5. Step 5: Solve for x
    x = 2,209,772.19/2,287.50
  6. Step 6: Final answer
    x = 966.02

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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.