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Finding the Fourth Proportional to 2,070.96, 3,106.23 and 684.52

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Solution

The fourth proportional to 2,070.96, 3,106.23 and 684.52 is: 1,026.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.96 : 3,106.23 = 684.52 : x
  2. Step 2: Convert to fraction form
    2,070.96/3,106.23 = 684.52/x
  3. Step 3: Cross multiply
    2,070.96x = 3,106.23 × 684.52
  4. Step 4: Simplify right side
    2,070.96x = 2,126,276.56
  5. Step 5: Solve for x
    x = 2,126,276.56/2,070.96
  6. Step 6: Final answer
    x = 1,026.71

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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.