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Finding the Fourth Proportional to 1,408.93, 2,110.20 and 859.90

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Solution

The fourth proportional to 1,408.93, 2,110.20 and 859.90 is: 1,287.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.93 : 2,110.20 = 859.90 : x
  2. Step 2: Convert to fraction form
    1,408.93/2,110.20 = 859.90/x
  3. Step 3: Cross multiply
    1,408.93x = 2,110.20 × 859.90
  4. Step 4: Simplify right side
    1,408.93x = 1,814,560.98
  5. Step 5: Solve for x
    x = 1,814,560.98/1,408.93
  6. Step 6: Final answer
    x = 1,287.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.