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Finding the Fourth Proportional to 2,074.50, 3,110.65 and 613.45

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Solution

The fourth proportional to 2,074.50, 3,110.65 and 613.45 is: 919.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.50 : 3,110.65 = 613.45 : x
  2. Step 2: Convert to fraction form
    2,074.50/3,110.65 = 613.45/x
  3. Step 3: Cross multiply
    2,074.50x = 3,110.65 × 613.45
  4. Step 4: Simplify right side
    2,074.50x = 1,908,228.24
  5. Step 5: Solve for x
    x = 1,908,228.24/2,074.50
  6. Step 6: Final answer
    x = 919.85

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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.