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Finding the Fourth Proportional to 2,592.72, 3,889.26 and 813.53

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Solution

The fourth proportional to 2,592.72, 3,889.26 and 813.53 is: 1,220.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.72 : 3,889.26 = 813.53 : x
  2. Step 2: Convert to fraction form
    2,592.72/3,889.26 = 813.53/x
  3. Step 3: Cross multiply
    2,592.72x = 3,889.26 × 813.53
  4. Step 4: Simplify right side
    2,592.72x = 3,164,039.41
  5. Step 5: Solve for x
    x = 3,164,039.41/2,592.72
  6. Step 6: Final answer
    x = 1,220.36

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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.