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Finding the Fourth Proportional to 1,468.51, 2,026.43 and 839.05

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Solution

The fourth proportional to 1,468.51, 2,026.43 and 839.05 is: 1,157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.51 : 2,026.43 = 839.05 : x
  2. Step 2: Convert to fraction form
    1,468.51/2,026.43 = 839.05/x
  3. Step 3: Cross multiply
    1,468.51x = 2,026.43 × 839.05
  4. Step 4: Simplify right side
    1,468.51x = 1,700,269.98
  5. Step 5: Solve for x
    x = 1,700,269.98/1,468.51
  6. Step 6: Final answer
    x = 1,157.82

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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.