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Finding the Fourth Proportional to 3,164.45, 4,748.03 and 1,315.98

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Solution

The fourth proportional to 3,164.45, 4,748.03 and 1,315.98 is: 1,974.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.45 : 4,748.03 = 1,315.98 : x
  2. Step 2: Convert to fraction form
    3,164.45/4,748.03 = 1,315.98/x
  3. Step 3: Cross multiply
    3,164.45x = 4,748.03 × 1,315.98
  4. Step 4: Simplify right side
    3,164.45x = 6,248,318.28
  5. Step 5: Solve for x
    x = 6,248,318.28/3,164.45
  6. Step 6: Final answer
    x = 1,974.53

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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.