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Finding the Fourth Proportional to 2,680.13, 3,697.02 and 1,683.69

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Solution

The fourth proportional to 2,680.13, 3,697.02 and 1,683.69 is: 2,322.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.13 : 3,697.02 = 1,683.69 : x
  2. Step 2: Convert to fraction form
    2,680.13/3,697.02 = 1,683.69/x
  3. Step 3: Cross multiply
    2,680.13x = 3,697.02 × 1,683.69
  4. Step 4: Simplify right side
    2,680.13x = 6,224,635.60
  5. Step 5: Solve for x
    x = 6,224,635.60/2,680.13
  6. Step 6: Final answer
    x = 2,322.52

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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.