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Finding the Fourth Proportional to 2,106.44, 3,160.20 and 700.95

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Solution

The fourth proportional to 2,106.44, 3,160.20 and 700.95 is: 1,051.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.44 : 3,160.20 = 700.95 : x
  2. Step 2: Convert to fraction form
    2,106.44/3,160.20 = 700.95/x
  3. Step 3: Cross multiply
    2,106.44x = 3,160.20 × 700.95
  4. Step 4: Simplify right side
    2,106.44x = 2,215,142.19
  5. Step 5: Solve for x
    x = 2,215,142.19/2,106.44
  6. Step 6: Final answer
    x = 1,051.61

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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.