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Finding the Fourth Proportional to 3,164.47, 4,745.79 and 1,315.24

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Solution

The fourth proportional to 3,164.47, 4,745.79 and 1,315.24 is: 1,972.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.47 : 4,745.79 = 1,315.24 : x
  2. Step 2: Convert to fraction form
    3,164.47/4,745.79 = 1,315.24/x
  3. Step 3: Cross multiply
    3,164.47x = 4,745.79 × 1,315.24
  4. Step 4: Simplify right side
    3,164.47x = 6,241,840.98
  5. Step 5: Solve for x
    x = 6,241,840.98/3,164.47
  6. Step 6: Final answer
    x = 1,972.48

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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.