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Finding the Fourth Proportional to 2,634.66, 3,635.74 and 1,455.64

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Solution

The fourth proportional to 2,634.66, 3,635.74 and 1,455.64 is: 2,008.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.66 : 3,635.74 = 1,455.64 : x
  2. Step 2: Convert to fraction form
    2,634.66/3,635.74 = 1,455.64/x
  3. Step 3: Cross multiply
    2,634.66x = 3,635.74 × 1,455.64
  4. Step 4: Simplify right side
    2,634.66x = 5,292,328.57
  5. Step 5: Solve for x
    x = 5,292,328.57/2,634.66
  6. Step 6: Final answer
    x = 2,008.73

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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.