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Finding the Fourth Proportional to 1,548.66, 2,137.98 and 1,193.81

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Solution

The fourth proportional to 1,548.66, 2,137.98 and 1,193.81 is: 1,648.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.66 : 2,137.98 = 1,193.81 : x
  2. Step 2: Convert to fraction form
    1,548.66/2,137.98 = 1,193.81/x
  3. Step 3: Cross multiply
    1,548.66x = 2,137.98 × 1,193.81
  4. Step 4: Simplify right side
    1,548.66x = 2,552,331.21
  5. Step 5: Solve for x
    x = 2,552,331.21/1,548.66
  6. Step 6: Final answer
    x = 1,648.09

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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.