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Finding the Fourth Proportional to 2,683.14, 3,702.62 and 1,504.20

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Solution

The fourth proportional to 2,683.14, 3,702.62 and 1,504.20 is: 2,075.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.14 : 3,702.62 = 1,504.20 : x
  2. Step 2: Convert to fraction form
    2,683.14/3,702.62 = 1,504.20/x
  3. Step 3: Cross multiply
    2,683.14x = 3,702.62 × 1,504.20
  4. Step 4: Simplify right side
    2,683.14x = 5,569,481.00
  5. Step 5: Solve for x
    x = 5,569,481.00/2,683.14
  6. Step 6: Final answer
    x = 2,075.73

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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.