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Finding the Fourth Proportional to 2,308.86, 3,475.76 and 2,107.98

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Solution

The fourth proportional to 2,308.86, 3,475.76 and 2,107.98 is: 3,173.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.86 : 3,475.76 = 2,107.98 : x
  2. Step 2: Convert to fraction form
    2,308.86/3,475.76 = 2,107.98/x
  3. Step 3: Cross multiply
    2,308.86x = 3,475.76 × 2,107.98
  4. Step 4: Simplify right side
    2,308.86x = 7,326,832.56
  5. Step 5: Solve for x
    x = 7,326,832.56/2,308.86
  6. Step 6: Final answer
    x = 3,173.36

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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.