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Finding the Fourth Proportional to 1,905.42, 2,858.13 and 809.04

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Solution

The fourth proportional to 1,905.42, 2,858.13 and 809.04 is: 1,213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.42 : 2,858.13 = 809.04 : x
  2. Step 2: Convert to fraction form
    1,905.42/2,858.13 = 809.04/x
  3. Step 3: Cross multiply
    1,905.42x = 2,858.13 × 809.04
  4. Step 4: Simplify right side
    1,905.42x = 2,312,341.50
  5. Step 5: Solve for x
    x = 2,312,341.50/1,905.42
  6. Step 6: Final answer
    x = 1,213.56

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Similar ratio
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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.