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Finding the Fourth Proportional to 2,682.26, 3,700.88 and 1,562.52

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Solution

The fourth proportional to 2,682.26, 3,700.88 and 1,562.52 is: 2,155.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.26 : 3,700.88 = 1,562.52 : x
  2. Step 2: Convert to fraction form
    2,682.26/3,700.88 = 1,562.52/x
  3. Step 3: Cross multiply
    2,682.26x = 3,700.88 × 1,562.52
  4. Step 4: Simplify right side
    2,682.26x = 5,782,699.02
  5. Step 5: Solve for x
    x = 5,782,699.02/2,682.26
  6. Step 6: Final answer
    x = 2,155.91

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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.