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Finding the Fourth Proportional to 2,611.95, 3,606.32 and 1,824.63

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Solution

The fourth proportional to 2,611.95, 3,606.32 and 1,824.63 is: 2,519.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.95 : 3,606.32 = 1,824.63 : x
  2. Step 2: Convert to fraction form
    2,611.95/3,606.32 = 1,824.63/x
  3. Step 3: Cross multiply
    2,611.95x = 3,606.32 × 1,824.63
  4. Step 4: Simplify right side
    2,611.95x = 6,580,199.66
  5. Step 5: Solve for x
    x = 6,580,199.66/2,611.95
  6. Step 6: Final answer
    x = 2,519.27

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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.