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Finding the Fourth Proportional to 2,144.63, 2,960.00 and 1,260.92

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Solution

The fourth proportional to 2,144.63, 2,960.00 and 1,260.92 is: 1,740.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.63 : 2,960.00 = 1,260.92 : x
  2. Step 2: Convert to fraction form
    2,144.63/2,960.00 = 1,260.92/x
  3. Step 3: Cross multiply
    2,144.63x = 2,960.00 × 1,260.92
  4. Step 4: Simplify right side
    2,144.63x = 3,732,302.10
  5. Step 5: Solve for x
    x = 3,732,302.10/2,144.63
  6. Step 6: Final answer
    x = 1,740.31

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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.