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Finding the Fourth Proportional to 2,106.86, 3,160.17 and 1,007.89

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Solution

The fourth proportional to 2,106.86, 3,160.17 and 1,007.89 is: 1,511.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.86 : 3,160.17 = 1,007.89 : x
  2. Step 2: Convert to fraction form
    2,106.86/3,160.17 = 1,007.89/x
  3. Step 3: Cross multiply
    2,106.86x = 3,160.17 × 1,007.89
  4. Step 4: Simplify right side
    2,106.86x = 3,185,095.84
  5. Step 5: Solve for x
    x = 3,185,095.84/2,106.86
  6. Step 6: Final answer
    x = 1,511.78

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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.