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Finding the Fourth Proportional to 2,682.96, 3,702.45 and 1,504.02

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Solution

The fourth proportional to 2,682.96, 3,702.45 and 1,504.02 is: 2,075.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.96 : 3,702.45 = 1,504.02 : x
  2. Step 2: Convert to fraction form
    2,682.96/3,702.45 = 1,504.02/x
  3. Step 3: Cross multiply
    2,682.96x = 3,702.45 × 1,504.02
  4. Step 4: Simplify right side
    2,682.96x = 5,568,558.85
  5. Step 5: Solve for x
    x = 5,568,558.85/2,682.96
  6. Step 6: Final answer
    x = 2,075.53

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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.