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Finding the Fourth Proportional to 2,257.79, 3,114.23 and 1,471.82

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Solution

The fourth proportional to 2,257.79, 3,114.23 and 1,471.82 is: 2,030.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.79 : 3,114.23 = 1,471.82 : x
  2. Step 2: Convert to fraction form
    2,257.79/3,114.23 = 1,471.82/x
  3. Step 3: Cross multiply
    2,257.79x = 3,114.23 × 1,471.82
  4. Step 4: Simplify right side
    2,257.79x = 4,583,563.07
  5. Step 5: Solve for x
    x = 4,583,563.07/2,257.79
  6. Step 6: Final answer
    x = 2,030.11

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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.