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Finding the Fourth Proportional to 2,606.54, 3,910.20 and 874.76

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Solution

The fourth proportional to 2,606.54, 3,910.20 and 874.76 is: 1,312.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.54 : 3,910.20 = 874.76 : x
  2. Step 2: Convert to fraction form
    2,606.54/3,910.20 = 874.76/x
  3. Step 3: Cross multiply
    2,606.54x = 3,910.20 × 874.76
  4. Step 4: Simplify right side
    2,606.54x = 3,420,486.55
  5. Step 5: Solve for x
    x = 3,420,486.55/2,606.54
  6. Step 6: Final answer
    x = 1,312.27

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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.