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Finding the Fourth Proportional to 1,468.62, 2,026.35 and 839.16

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Solution

The fourth proportional to 1,468.62, 2,026.35 and 839.16 is: 1,157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.62 : 2,026.35 = 839.16 : x
  2. Step 2: Convert to fraction form
    1,468.62/2,026.35 = 839.16/x
  3. Step 3: Cross multiply
    1,468.62x = 2,026.35 × 839.16
  4. Step 4: Simplify right side
    1,468.62x = 1,700,431.87
  5. Step 5: Solve for x
    x = 1,700,431.87/1,468.62
  6. Step 6: Final answer
    x = 1,157.84

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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.