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Finding the Fourth Proportional to 2,669.37, 3,683.50 and 1,549.95

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Solution

The fourth proportional to 2,669.37, 3,683.50 and 1,549.95 is: 2,138.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.37 : 3,683.50 = 1,549.95 : x
  2. Step 2: Convert to fraction form
    2,669.37/3,683.50 = 1,549.95/x
  3. Step 3: Cross multiply
    2,669.37x = 3,683.50 × 1,549.95
  4. Step 4: Simplify right side
    2,669.37x = 5,709,240.83
  5. Step 5: Solve for x
    x = 5,709,240.83/2,669.37
  6. Step 6: Final answer
    x = 2,138.80

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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.