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Finding the Fourth Proportional to 2,074.95, 3,112.04 and 613.76

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Solution

The fourth proportional to 2,074.95, 3,112.04 and 613.76 is: 920.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.95 : 3,112.04 = 613.76 : x
  2. Step 2: Convert to fraction form
    2,074.95/3,112.04 = 613.76/x
  3. Step 3: Cross multiply
    2,074.95x = 3,112.04 × 613.76
  4. Step 4: Simplify right side
    2,074.95x = 1,910,031.64
  5. Step 5: Solve for x
    x = 1,910,031.64/2,074.95
  6. Step 6: Final answer
    x = 920.52

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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.