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Finding the Fourth Proportional to 2,242.71, 3,096.36 and 1,458.99

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Solution

The fourth proportional to 2,242.71, 3,096.36 and 1,458.99 is: 2,014.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.71 : 3,096.36 = 1,458.99 : x
  2. Step 2: Convert to fraction form
    2,242.71/3,096.36 = 1,458.99/x
  3. Step 3: Cross multiply
    2,242.71x = 3,096.36 × 1,458.99
  4. Step 4: Simplify right side
    2,242.71x = 4,517,558.28
  5. Step 5: Solve for x
    x = 4,517,558.28/2,242.71
  6. Step 6: Final answer
    x = 2,014.33

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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.