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Finding the Fourth Proportional to 2,375.28, 3,584.16 and 2,285.28

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Solution

The fourth proportional to 2,375.28, 3,584.16 and 2,285.28 is: 3,448.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.28 : 3,584.16 = 2,285.28 : x
  2. Step 2: Convert to fraction form
    2,375.28/3,584.16 = 2,285.28/x
  3. Step 3: Cross multiply
    2,375.28x = 3,584.16 × 2,285.28
  4. Step 4: Simplify right side
    2,375.28x = 8,190,809.16
  5. Step 5: Solve for x
    x = 8,190,809.16/2,375.28
  6. Step 6: Final answer
    x = 3,448.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.