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Finding the Fourth Proportional to 2,380.68, 3,569.09 and 918.99

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Solution

The fourth proportional to 2,380.68, 3,569.09 and 918.99 is: 1,377.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.68 : 3,569.09 = 918.99 : x
  2. Step 2: Convert to fraction form
    2,380.68/3,569.09 = 918.99/x
  3. Step 3: Cross multiply
    2,380.68x = 3,569.09 × 918.99
  4. Step 4: Simplify right side
    2,380.68x = 3,279,953.42
  5. Step 5: Solve for x
    x = 3,279,953.42/2,380.68
  6. Step 6: Final answer
    x = 1,377.74

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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.