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Finding the Fourth Proportional to 2,597.01, 3,586.41 and 2,221.83

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Solution

The fourth proportional to 2,597.01, 3,586.41 and 2,221.83 is: 3,068.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.01 : 3,586.41 = 2,221.83 : x
  2. Step 2: Convert to fraction form
    2,597.01/3,586.41 = 2,221.83/x
  3. Step 3: Cross multiply
    2,597.01x = 3,586.41 × 2,221.83
  4. Step 4: Simplify right side
    2,597.01x = 7,968,393.33
  5. Step 5: Solve for x
    x = 7,968,393.33/2,597.01
  6. Step 6: Final answer
    x = 3,068.30

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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.