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Finding the Fourth Proportional to 1,694.02, 2,536.58 and 1,363.20

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Solution

The fourth proportional to 1,694.02, 2,536.58 and 1,363.20 is: 2,041.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.02 : 2,536.58 = 1,363.20 : x
  2. Step 2: Convert to fraction form
    1,694.02/2,536.58 = 1,363.20/x
  3. Step 3: Cross multiply
    1,694.02x = 2,536.58 × 1,363.20
  4. Step 4: Simplify right side
    1,694.02x = 3,457,865.86
  5. Step 5: Solve for x
    x = 3,457,865.86/1,694.02
  6. Step 6: Final answer
    x = 2,041.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.