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Finding the Fourth Proportional to 1,960.47, 2,705.90 and 1,260.63

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Solution

The fourth proportional to 1,960.47, 2,705.90 and 1,260.63 is: 1,739.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.47 : 2,705.90 = 1,260.63 : x
  2. Step 2: Convert to fraction form
    1,960.47/2,705.90 = 1,260.63/x
  3. Step 3: Cross multiply
    1,960.47x = 2,705.90 × 1,260.63
  4. Step 4: Simplify right side
    1,960.47x = 3,411,138.72
  5. Step 5: Solve for x
    x = 3,411,138.72/1,960.47
  6. Step 6: Final answer
    x = 1,739.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.