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Finding the Fourth Proportional to 2,804.67, 4,203.81 and 1,706.61

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Solution

The fourth proportional to 2,804.67, 4,203.81 and 1,706.61 is: 2,557.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.67 : 4,203.81 = 1,706.61 : x
  2. Step 2: Convert to fraction form
    2,804.67/4,203.81 = 1,706.61/x
  3. Step 3: Cross multiply
    2,804.67x = 4,203.81 × 1,706.61
  4. Step 4: Simplify right side
    2,804.67x = 7,174,264.18
  5. Step 5: Solve for x
    x = 7,174,264.18/2,804.67
  6. Step 6: Final answer
    x = 2,557.97

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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.