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Finding the Fourth Proportional to 2,153.42, 3,233.12 and 1,114.19

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Solution

The fourth proportional to 2,153.42, 3,233.12 and 1,114.19 is: 1,672.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.42 : 3,233.12 = 1,114.19 : x
  2. Step 2: Convert to fraction form
    2,153.42/3,233.12 = 1,114.19/x
  3. Step 3: Cross multiply
    2,153.42x = 3,233.12 × 1,114.19
  4. Step 4: Simplify right side
    2,153.42x = 3,602,288.24
  5. Step 5: Solve for x
    x = 3,602,288.24/2,153.42
  6. Step 6: Final answer
    x = 1,672.83

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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.