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Finding the Fourth Proportional to 2,599.74, 3,586.60 and 1,603.28

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Solution

The fourth proportional to 2,599.74, 3,586.60 and 1,603.28 is: 2,211.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.74 : 3,586.60 = 1,603.28 : x
  2. Step 2: Convert to fraction form
    2,599.74/3,586.60 = 1,603.28/x
  3. Step 3: Cross multiply
    2,599.74x = 3,586.60 × 1,603.28
  4. Step 4: Simplify right side
    2,599.74x = 5,750,324.05
  5. Step 5: Solve for x
    x = 5,750,324.05/2,599.74
  6. Step 6: Final answer
    x = 2,211.88

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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.