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Finding the Fourth Proportional to 2,658.18, 3,669.12 and 1,596.72

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Solution

The fourth proportional to 2,658.18, 3,669.12 and 1,596.72 is: 2,203.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.18 : 3,669.12 = 1,596.72 : x
  2. Step 2: Convert to fraction form
    2,658.18/3,669.12 = 1,596.72/x
  3. Step 3: Cross multiply
    2,658.18x = 3,669.12 × 1,596.72
  4. Step 4: Simplify right side
    2,658.18x = 5,858,557.29
  5. Step 5: Solve for x
    x = 5,858,557.29/2,658.18
  6. Step 6: Final answer
    x = 2,203.97

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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.