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Finding the Fourth Proportional to 2,683.80, 3,702.60 and 2,053.67

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Solution

The fourth proportional to 2,683.80, 3,702.60 and 2,053.67 is: 2,833.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.80 : 3,702.60 = 2,053.67 : x
  2. Step 2: Convert to fraction form
    2,683.80/3,702.60 = 2,053.67/x
  3. Step 3: Cross multiply
    2,683.80x = 3,702.60 × 2,053.67
  4. Step 4: Simplify right side
    2,683.80x = 7,603,900.03
  5. Step 5: Solve for x
    x = 7,603,900.03/2,683.80
  6. Step 6: Final answer
    x = 2,833.26

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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.