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Finding the Fourth Proportional to 2,071.17, 3,107.23 and 684.45

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Solution

The fourth proportional to 2,071.17, 3,107.23 and 684.45 is: 1,026.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.17 : 3,107.23 = 684.45 : x
  2. Step 2: Convert to fraction form
    2,071.17/3,107.23 = 684.45/x
  3. Step 3: Cross multiply
    2,071.17x = 3,107.23 × 684.45
  4. Step 4: Simplify right side
    2,071.17x = 2,126,741.86
  5. Step 5: Solve for x
    x = 2,126,741.86/2,071.17
  6. Step 6: Final answer
    x = 1,026.83

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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.