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Finding the Fourth Proportional to 2,155.54, 2,972.61 and 1,448.98

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Solution

The fourth proportional to 2,155.54, 2,972.61 and 1,448.98 is: 1,998.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.54 : 2,972.61 = 1,448.98 : x
  2. Step 2: Convert to fraction form
    2,155.54/2,972.61 = 1,448.98/x
  3. Step 3: Cross multiply
    2,155.54x = 2,972.61 × 1,448.98
  4. Step 4: Simplify right side
    2,155.54x = 4,307,252.44
  5. Step 5: Solve for x
    x = 4,307,252.44/2,155.54
  6. Step 6: Final answer
    x = 1,998.22

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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.