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Finding the Fourth Proportional to 1,591.57, 2,388.08 and 811.09

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Solution

The fourth proportional to 1,591.57, 2,388.08 and 811.09 is: 1,217.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.57 : 2,388.08 = 811.09 : x
  2. Step 2: Convert to fraction form
    1,591.57/2,388.08 = 811.09/x
  3. Step 3: Cross multiply
    1,591.57x = 2,388.08 × 811.09
  4. Step 4: Simplify right side
    1,591.57x = 1,936,947.81
  5. Step 5: Solve for x
    x = 1,936,947.81/1,591.57
  6. Step 6: Final answer
    x = 1,217.00

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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.