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Finding the Fourth Proportional to 2,749.01, 3,792.77 and 1,685.67

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Solution

The fourth proportional to 2,749.01, 3,792.77 and 1,685.67 is: 2,325.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.01 : 3,792.77 = 1,685.67 : x
  2. Step 2: Convert to fraction form
    2,749.01/3,792.77 = 1,685.67/x
  3. Step 3: Cross multiply
    2,749.01x = 3,792.77 × 1,685.67
  4. Step 4: Simplify right side
    2,749.01x = 6,393,350.18
  5. Step 5: Solve for x
    x = 6,393,350.18/2,749.01
  6. Step 6: Final answer
    x = 2,325.70

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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.