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Finding the Fourth Proportional to 2,073.25, 3,109.95 and 824.08

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Solution

The fourth proportional to 2,073.25, 3,109.95 and 824.08 is: 1,236.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.25 : 3,109.95 = 824.08 : x
  2. Step 2: Convert to fraction form
    2,073.25/3,109.95 = 824.08/x
  3. Step 3: Cross multiply
    2,073.25x = 3,109.95 × 824.08
  4. Step 4: Simplify right side
    2,073.25x = 2,562,832.05
  5. Step 5: Solve for x
    x = 2,562,832.05/2,073.25
  6. Step 6: Final answer
    x = 1,236.15

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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.