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Finding the Fourth Proportional to 2,798.13, 4,197.18 and 850.35

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Solution

The fourth proportional to 2,798.13, 4,197.18 and 850.35 is: 1,275.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.13 : 4,197.18 = 850.35 : x
  2. Step 2: Convert to fraction form
    2,798.13/4,197.18 = 850.35/x
  3. Step 3: Cross multiply
    2,798.13x = 4,197.18 × 850.35
  4. Step 4: Simplify right side
    2,798.13x = 3,569,072.01
  5. Step 5: Solve for x
    x = 3,569,072.01/2,798.13
  6. Step 6: Final answer
    x = 1,275.52

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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.