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Finding the Fourth Proportional to 2,104.06, 3,156.69 and 805.63

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Solution

The fourth proportional to 2,104.06, 3,156.69 and 805.63 is: 1,208.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.06 : 3,156.69 = 805.63 : x
  2. Step 2: Convert to fraction form
    2,104.06/3,156.69 = 805.63/x
  3. Step 3: Cross multiply
    2,104.06x = 3,156.69 × 805.63
  4. Step 4: Simplify right side
    2,104.06x = 2,543,124.16
  5. Step 5: Solve for x
    x = 2,543,124.16/2,104.06
  6. Step 6: Final answer
    x = 1,208.67

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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.