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Finding the Fourth Proportional to 2,544.70, 3,817.86 and 902.29

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Solution

The fourth proportional to 2,544.70, 3,817.86 and 902.29 is: 1,353.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.70 : 3,817.86 = 902.29 : x
  2. Step 2: Convert to fraction form
    2,544.70/3,817.86 = 902.29/x
  3. Step 3: Cross multiply
    2,544.70x = 3,817.86 × 902.29
  4. Step 4: Simplify right side
    2,544.70x = 3,444,816.90
  5. Step 5: Solve for x
    x = 3,444,816.90/2,544.70
  6. Step 6: Final answer
    x = 1,353.72

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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.