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Finding the Fourth Proportional to 1,468.20, 2,025.78 and 838.62

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Solution

The fourth proportional to 1,468.20, 2,025.78 and 838.62 is: 1,157.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.20 : 2,025.78 = 838.62 : x
  2. Step 2: Convert to fraction form
    1,468.20/2,025.78 = 838.62/x
  3. Step 3: Cross multiply
    1,468.20x = 2,025.78 × 838.62
  4. Step 4: Simplify right side
    1,468.20x = 1,698,859.62
  5. Step 5: Solve for x
    x = 1,698,859.62/1,468.20
  6. Step 6: Final answer
    x = 1,157.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.