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Finding the Fourth Proportional to 2,108.61, 2,906.69 and 1,518.93

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Solution

The fourth proportional to 2,108.61, 2,906.69 and 1,518.93 is: 2,093.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.61 : 2,906.69 = 1,518.93 : x
  2. Step 2: Convert to fraction form
    2,108.61/2,906.69 = 1,518.93/x
  3. Step 3: Cross multiply
    2,108.61x = 2,906.69 × 1,518.93
  4. Step 4: Simplify right side
    2,108.61x = 4,415,051.05
  5. Step 5: Solve for x
    x = 4,415,051.05/2,108.61
  6. Step 6: Final answer
    x = 2,093.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.