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Finding the Fourth Proportional to 1,395.05, 2,091.50 and 809.15

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Solution

The fourth proportional to 1,395.05, 2,091.50 and 809.15 is: 1,213.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.05 : 2,091.50 = 809.15 : x
  2. Step 2: Convert to fraction form
    1,395.05/2,091.50 = 809.15/x
  3. Step 3: Cross multiply
    1,395.05x = 2,091.50 × 809.15
  4. Step 4: Simplify right side
    1,395.05x = 1,692,333.18
  5. Step 5: Solve for x
    x = 1,692,333.18/1,395.05
  6. Step 6: Final answer
    x = 1,213.10

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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.