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Finding the Fourth Proportional to 2,541.41, 3,811.73 and 875.80

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Solution

The fourth proportional to 2,541.41, 3,811.73 and 875.80 is: 1,313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.41 : 3,811.73 = 875.80 : x
  2. Step 2: Convert to fraction form
    2,541.41/3,811.73 = 875.80/x
  3. Step 3: Cross multiply
    2,541.41x = 3,811.73 × 875.80
  4. Step 4: Simplify right side
    2,541.41x = 3,338,299.47
  5. Step 5: Solve for x
    x = 3,338,299.47/2,541.41
  6. Step 6: Final answer
    x = 1,313.56

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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.