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Finding the Fourth Proportional to 2,114.56, 2,922.24 and 1,715.43

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Solution

The fourth proportional to 2,114.56, 2,922.24 and 1,715.43 is: 2,370.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.56 : 2,922.24 = 1,715.43 : x
  2. Step 2: Convert to fraction form
    2,114.56/2,922.24 = 1,715.43/x
  3. Step 3: Cross multiply
    2,114.56x = 2,922.24 × 1,715.43
  4. Step 4: Simplify right side
    2,114.56x = 5,012,898.16
  5. Step 5: Solve for x
    x = 5,012,898.16/2,114.56
  6. Step 6: Final answer
    x = 2,370.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.