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Finding the Fourth Proportional to 2,545.26, 3,818.04 and 813.75

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Solution

The fourth proportional to 2,545.26, 3,818.04 and 813.75 is: 1,220.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.26 : 3,818.04 = 813.75 : x
  2. Step 2: Convert to fraction form
    2,545.26/3,818.04 = 813.75/x
  3. Step 3: Cross multiply
    2,545.26x = 3,818.04 × 813.75
  4. Step 4: Simplify right side
    2,545.26x = 3,106,930.05
  5. Step 5: Solve for x
    x = 3,106,930.05/2,545.26
  6. Step 6: Final answer
    x = 1,220.67

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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.