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Finding the Fourth Proportional to 1,960.72, 2,939.60 and 1,690

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Solution

The fourth proportional to 1,960.72, 2,939.60 and 1,690 is: 2,533.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.72 : 2,939.60 = 1,690 : x
  2. Step 2: Convert to fraction form
    1,960.72/2,939.60 = 1,690/x
  3. Step 3: Cross multiply
    1,960.72x = 2,939.60 × 1,690
  4. Step 4: Simplify right side
    1,960.72x = 4,967,924
  5. Step 5: Solve for x
    x = 4,967,924/1,960.72
  6. Step 6: Final answer
    x = 2,533.72

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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.