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Finding the Fourth Proportional to 1,808.75, 2,496.09 and 1,022.78

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Solution

The fourth proportional to 1,808.75, 2,496.09 and 1,022.78 is: 1,411.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.75 : 2,496.09 = 1,022.78 : x
  2. Step 2: Convert to fraction form
    1,808.75/2,496.09 = 1,022.78/x
  3. Step 3: Cross multiply
    1,808.75x = 2,496.09 × 1,022.78
  4. Step 4: Simplify right side
    1,808.75x = 2,552,950.93
  5. Step 5: Solve for x
    x = 2,552,950.93/1,808.75
  6. Step 6: Final answer
    x = 1,411.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.