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Finding the Fourth Proportional to 2,307.86, 3,474.26 and 2,106.98

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Solution

The fourth proportional to 2,307.86, 3,474.26 and 2,106.98 is: 3,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.86 : 3,474.26 = 2,106.98 : x
  2. Step 2: Convert to fraction form
    2,307.86/3,474.26 = 2,106.98/x
  3. Step 3: Cross multiply
    2,307.86x = 3,474.26 × 2,106.98
  4. Step 4: Simplify right side
    2,307.86x = 7,320,168.43
  5. Step 5: Solve for x
    x = 7,320,168.43/2,307.86
  6. Step 6: Final answer
    x = 3,171.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.