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Finding the Fourth Proportional to 2,104.76, 3,156.96 and 643.98

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Solution

The fourth proportional to 2,104.76, 3,156.96 and 643.98 is: 965.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.76 : 3,156.96 = 643.98 : x
  2. Step 2: Convert to fraction form
    2,104.76/3,156.96 = 643.98/x
  3. Step 3: Cross multiply
    2,104.76x = 3,156.96 × 643.98
  4. Step 4: Simplify right side
    2,104.76x = 2,033,019.10
  5. Step 5: Solve for x
    x = 2,033,019.10/2,104.76
  6. Step 6: Final answer
    x = 965.91

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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.