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Finding the Fourth Proportional to 1,468.58, 2,026.54 and 839.15

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Solution

The fourth proportional to 1,468.58, 2,026.54 and 839.15 is: 1,157.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.58 : 2,026.54 = 839.15 : x
  2. Step 2: Convert to fraction form
    1,468.58/2,026.54 = 839.15/x
  3. Step 3: Cross multiply
    1,468.58x = 2,026.54 × 839.15
  4. Step 4: Simplify right side
    1,468.58x = 1,700,571.04
  5. Step 5: Solve for x
    x = 1,700,571.04/1,468.58
  6. Step 6: Final answer
    x = 1,157.97

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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.