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Finding the Fourth Proportional to 2,456.16, 3,683.04 and 1,224.28

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Solution

The fourth proportional to 2,456.16, 3,683.04 and 1,224.28 is: 1,835.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.16 : 3,683.04 = 1,224.28 : x
  2. Step 2: Convert to fraction form
    2,456.16/3,683.04 = 1,224.28/x
  3. Step 3: Cross multiply
    2,456.16x = 3,683.04 × 1,224.28
  4. Step 4: Simplify right side
    2,456.16x = 4,509,072.22
  5. Step 5: Solve for x
    x = 4,509,072.22/2,456.16
  6. Step 6: Final answer
    x = 1,835.82

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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.