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Finding the Fourth Proportional to 2,444.57, 3,664.56 and 883.59

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Solution

The fourth proportional to 2,444.57, 3,664.56 and 883.59 is: 1,324.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.57 : 3,664.56 = 883.59 : x
  2. Step 2: Convert to fraction form
    2,444.57/3,664.56 = 883.59/x
  3. Step 3: Cross multiply
    2,444.57x = 3,664.56 × 883.59
  4. Step 4: Simplify right side
    2,444.57x = 3,237,968.57
  5. Step 5: Solve for x
    x = 3,237,968.57/2,444.57
  6. Step 6: Final answer
    x = 1,324.56

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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.