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Finding the Fourth Proportional to 1,949.63, 2,924.93 and 563.07

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Solution

The fourth proportional to 1,949.63, 2,924.93 and 563.07 is: 844.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.63 : 2,924.93 = 563.07 : x
  2. Step 2: Convert to fraction form
    1,949.63/2,924.93 = 563.07/x
  3. Step 3: Cross multiply
    1,949.63x = 2,924.93 × 563.07
  4. Step 4: Simplify right side
    1,949.63x = 1,646,937.52
  5. Step 5: Solve for x
    x = 1,646,937.52/1,949.63
  6. Step 6: Final answer
    x = 844.75

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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.