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Finding the Fourth Proportional to 2,100.08, 3,151.64 and 1,408.08

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Solution

The fourth proportional to 2,100.08, 3,151.64 and 1,408.08 is: 2,113.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.08 : 3,151.64 = 1,408.08 : x
  2. Step 2: Convert to fraction form
    2,100.08/3,151.64 = 1,408.08/x
  3. Step 3: Cross multiply
    2,100.08x = 3,151.64 × 1,408.08
  4. Step 4: Simplify right side
    2,100.08x = 4,437,761.25
  5. Step 5: Solve for x
    x = 4,437,761.25/2,100.08
  6. Step 6: Final answer
    x = 2,113.14

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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.