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Finding the Fourth Proportional to 1,822.19, 2,734.43 and 782.19

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Solution

The fourth proportional to 1,822.19, 2,734.43 and 782.19 is: 1,173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.19 : 2,734.43 = 782.19 : x
  2. Step 2: Convert to fraction form
    1,822.19/2,734.43 = 782.19/x
  3. Step 3: Cross multiply
    1,822.19x = 2,734.43 × 782.19
  4. Step 4: Simplify right side
    1,822.19x = 2,138,839.89
  5. Step 5: Solve for x
    x = 2,138,839.89/1,822.19
  6. Step 6: Final answer
    x = 1,173.78

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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.