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Finding the Fourth Proportional to 4,014, 6,018.60 and 1,671.18

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Solution

The fourth proportional to 4,014, 6,018.60 and 1,671.18 is: 2,505.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,014 : 6,018.60 = 1,671.18 : x
  2. Step 2: Convert to fraction form
    4,014/6,018.60 = 1,671.18/x
  3. Step 3: Cross multiply
    4,014x = 6,018.60 × 1,671.18
  4. Step 4: Simplify right side
    4,014x = 10,058,163.95
  5. Step 5: Solve for x
    x = 10,058,163.95/4,014
  6. Step 6: Final answer
    x = 2,505.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.