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Finding the Fourth Proportional to 3,165.38, 4,748.67 and 1,434

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Solution

The fourth proportional to 3,165.38, 4,748.67 and 1,434 is: 2,151.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.38 : 4,748.67 = 1,434 : x
  2. Step 2: Convert to fraction form
    3,165.38/4,748.67 = 1,434/x
  3. Step 3: Cross multiply
    3,165.38x = 4,748.67 × 1,434
  4. Step 4: Simplify right side
    3,165.38x = 6,809,592.78
  5. Step 5: Solve for x
    x = 6,809,592.78/3,165.38
  6. Step 6: Final answer
    x = 2,151.28

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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.