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Finding the Fourth Proportional to 1,468.63, 2,026.72 and 839.16

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Solution

The fourth proportional to 1,468.63, 2,026.72 and 839.16 is: 1,158.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.63 : 2,026.72 = 839.16 : x
  2. Step 2: Convert to fraction form
    1,468.63/2,026.72 = 839.16/x
  3. Step 3: Cross multiply
    1,468.63x = 2,026.72 × 839.16
  4. Step 4: Simplify right side
    1,468.63x = 1,700,743.40
  5. Step 5: Solve for x
    x = 1,700,743.40/1,468.63
  6. Step 6: Final answer
    x = 1,158.05

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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.