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Finding the Fourth Proportional to 2,634.52, 3,635.46 and 1,455.64

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Solution

The fourth proportional to 2,634.52, 3,635.46 and 1,455.64 is: 2,008.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.52 : 3,635.46 = 1,455.64 : x
  2. Step 2: Convert to fraction form
    2,634.52/3,635.46 = 1,455.64/x
  3. Step 3: Cross multiply
    2,634.52x = 3,635.46 × 1,455.64
  4. Step 4: Simplify right side
    2,634.52x = 5,291,920.99
  5. Step 5: Solve for x
    x = 5,291,920.99/2,634.52
  6. Step 6: Final answer
    x = 2,008.69

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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.