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Finding the Fourth Proportional to 2,048.46, 2,834.26 and 1,786.98

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Solution

The fourth proportional to 2,048.46, 2,834.26 and 1,786.98 is: 2,472.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.46 : 2,834.26 = 1,786.98 : x
  2. Step 2: Convert to fraction form
    2,048.46/2,834.26 = 1,786.98/x
  3. Step 3: Cross multiply
    2,048.46x = 2,834.26 × 1,786.98
  4. Step 4: Simplify right side
    2,048.46x = 5,064,765.93
  5. Step 5: Solve for x
    x = 5,064,765.93/2,048.46
  6. Step 6: Final answer
    x = 2,472.47

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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.