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Finding the Fourth Proportional to 1,947.75, 2,922.08 and 561.10

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Solution

The fourth proportional to 1,947.75, 2,922.08 and 561.10 is: 841.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.75 : 2,922.08 = 561.10 : x
  2. Step 2: Convert to fraction form
    1,947.75/2,922.08 = 561.10/x
  3. Step 3: Cross multiply
    1,947.75x = 2,922.08 × 561.10
  4. Step 4: Simplify right side
    1,947.75x = 1,639,579.09
  5. Step 5: Solve for x
    x = 1,639,579.09/1,947.75
  6. Step 6: Final answer
    x = 841.78

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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.