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Finding the Fourth Proportional to 2,795.25, 4,192.88 and 847.61

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Solution

The fourth proportional to 2,795.25, 4,192.88 and 847.61 is: 1,271.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.25 : 4,192.88 = 847.61 : x
  2. Step 2: Convert to fraction form
    2,795.25/4,192.88 = 847.61/x
  3. Step 3: Cross multiply
    2,795.25x = 4,192.88 × 847.61
  4. Step 4: Simplify right side
    2,795.25x = 3,553,901.81
  5. Step 5: Solve for x
    x = 3,553,901.81/2,795.25
  6. Step 6: Final answer
    x = 1,271.41

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