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Finding the Fourth Proportional to 1,905.84, 2,858.76 and 809.43

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Solution

The fourth proportional to 1,905.84, 2,858.76 and 809.43 is: 1,214.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.84 : 2,858.76 = 809.43 : x
  2. Step 2: Convert to fraction form
    1,905.84/2,858.76 = 809.43/x
  3. Step 3: Cross multiply
    1,905.84x = 2,858.76 × 809.43
  4. Step 4: Simplify right side
    1,905.84x = 2,313,973.79
  5. Step 5: Solve for x
    x = 2,313,973.79/1,905.84
  6. Step 6: Final answer
    x = 1,214.15

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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.