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Finding the Fourth Proportional to 2,111.83, 3,167.20 and 1,453.57

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Solution

The fourth proportional to 2,111.83, 3,167.20 and 1,453.57 is: 2,179.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.83 : 3,167.20 = 1,453.57 : x
  2. Step 2: Convert to fraction form
    2,111.83/3,167.20 = 1,453.57/x
  3. Step 3: Cross multiply
    2,111.83x = 3,167.20 × 1,453.57
  4. Step 4: Simplify right side
    2,111.83x = 4,603,746.90
  5. Step 5: Solve for x
    x = 4,603,746.90/2,111.83
  6. Step 6: Final answer
    x = 2,179.98

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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.