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Finding the Fourth Proportional to 2,519.11, 3,778.70 and 875.70

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Solution

The fourth proportional to 2,519.11, 3,778.70 and 875.70 is: 1,313.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.11 : 3,778.70 = 875.70 : x
  2. Step 2: Convert to fraction form
    2,519.11/3,778.70 = 875.70/x
  3. Step 3: Cross multiply
    2,519.11x = 3,778.70 × 875.70
  4. Step 4: Simplify right side
    2,519.11x = 3,308,988.70
  5. Step 5: Solve for x
    x = 3,308,988.70/2,519.11
  6. Step 6: Final answer
    x = 1,313.55

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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.