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Finding the Fourth Proportional to 2,142.83, 3,214.01 and 1,453.93

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Solution

The fourth proportional to 2,142.83, 3,214.01 and 1,453.93 is: 2,180.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.83 : 3,214.01 = 1,453.93 : x
  2. Step 2: Convert to fraction form
    2,142.83/3,214.01 = 1,453.93/x
  3. Step 3: Cross multiply
    2,142.83x = 3,214.01 × 1,453.93
  4. Step 4: Simplify right side
    2,142.83x = 4,672,941.16
  5. Step 5: Solve for x
    x = 4,672,941.16/2,142.83
  6. Step 6: Final answer
    x = 2,180.73

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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.