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Finding the Fourth Proportional to 1,468.79, 2,026.90 and 839.22

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Solution

The fourth proportional to 1,468.79, 2,026.90 and 839.22 is: 1,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.79 : 2,026.90 = 839.22 : x
  2. Step 2: Convert to fraction form
    1,468.79/2,026.90 = 839.22/x
  3. Step 3: Cross multiply
    1,468.79x = 2,026.90 × 839.22
  4. Step 4: Simplify right side
    1,468.79x = 1,701,015.15
  5. Step 5: Solve for x
    x = 1,701,015.15/1,468.79
  6. Step 6: Final answer
    x = 1,158.10

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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.