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Finding the Fourth Proportional to 2,602.06, 3,591.51 and 1,805.44

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Solution

The fourth proportional to 2,602.06, 3,591.51 and 1,805.44 is: 2,491.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.06 : 3,591.51 = 1,805.44 : x
  2. Step 2: Convert to fraction form
    2,602.06/3,591.51 = 1,805.44/x
  3. Step 3: Cross multiply
    2,602.06x = 3,591.51 × 1,805.44
  4. Step 4: Simplify right side
    2,602.06x = 6,484,255.81
  5. Step 5: Solve for x
    x = 6,484,255.81/2,602.06
  6. Step 6: Final answer
    x = 2,491.97

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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.