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Finding the Fourth Proportional to 2,473.63, 3,706.79 and 1,376.48

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Solution

The fourth proportional to 2,473.63, 3,706.79 and 1,376.48 is: 2,062.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.63 : 3,706.79 = 1,376.48 : x
  2. Step 2: Convert to fraction form
    2,473.63/3,706.79 = 1,376.48/x
  3. Step 3: Cross multiply
    2,473.63x = 3,706.79 × 1,376.48
  4. Step 4: Simplify right side
    2,473.63x = 5,102,324.68
  5. Step 5: Solve for x
    x = 5,102,324.68/2,473.63
  6. Step 6: Final answer
    x = 2,062.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.