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Finding the Fourth Proportional to 2,683.96, 3,703.90 and 2,010.57

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Solution

The fourth proportional to 2,683.96, 3,703.90 and 2,010.57 is: 2,774.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.96 : 3,703.90 = 2,010.57 : x
  2. Step 2: Convert to fraction form
    2,683.96/3,703.90 = 2,010.57/x
  3. Step 3: Cross multiply
    2,683.96x = 3,703.90 × 2,010.57
  4. Step 4: Simplify right side
    2,683.96x = 7,446,937.46
  5. Step 5: Solve for x
    x = 7,446,937.46/2,683.96
  6. Step 6: Final answer
    x = 2,774.61

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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.