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Finding the Fourth Proportional to 2,409.87, 3,614.80 and 948.22

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Solution

The fourth proportional to 2,409.87, 3,614.80 and 948.22 is: 1,422.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.87 : 3,614.80 = 948.22 : x
  2. Step 2: Convert to fraction form
    2,409.87/3,614.80 = 948.22/x
  3. Step 3: Cross multiply
    2,409.87x = 3,614.80 × 948.22
  4. Step 4: Simplify right side
    2,409.87x = 3,427,625.66
  5. Step 5: Solve for x
    x = 3,427,625.66/2,409.87
  6. Step 6: Final answer
    x = 1,422.33

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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.