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Finding the Fourth Proportional to 1,808.78, 2,713.49 and 654.26

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Solution

The fourth proportional to 1,808.78, 2,713.49 and 654.26 is: 981.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.78 : 2,713.49 = 654.26 : x
  2. Step 2: Convert to fraction form
    1,808.78/2,713.49 = 654.26/x
  3. Step 3: Cross multiply
    1,808.78x = 2,713.49 × 654.26
  4. Step 4: Simplify right side
    1,808.78x = 1,775,327.97
  5. Step 5: Solve for x
    x = 1,775,327.97/1,808.78
  6. Step 6: Final answer
    x = 981.51

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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.