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Finding the Fourth Proportional to 1,661.37, 2,487.15 and 1,456.34

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Solution

The fourth proportional to 1,661.37, 2,487.15 and 1,456.34 is: 2,180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.37 : 2,487.15 = 1,456.34 : x
  2. Step 2: Convert to fraction form
    1,661.37/2,487.15 = 1,456.34/x
  3. Step 3: Cross multiply
    1,661.37x = 2,487.15 × 1,456.34
  4. Step 4: Simplify right side
    1,661.37x = 3,622,123.60
  5. Step 5: Solve for x
    x = 3,622,123.60/1,661.37
  6. Step 6: Final answer
    x = 2,180.20

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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.