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Finding the Fourth Proportional to 2,682.11, 3,703.03 and 2,185.93

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Solution

The fourth proportional to 2,682.11, 3,703.03 and 2,185.93 is: 3,017.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.11 : 3,703.03 = 2,185.93 : x
  2. Step 2: Convert to fraction form
    2,682.11/3,703.03 = 2,185.93/x
  3. Step 3: Cross multiply
    2,682.11x = 3,703.03 × 2,185.93
  4. Step 4: Simplify right side
    2,682.11x = 8,094,549.65
  5. Step 5: Solve for x
    x = 8,094,549.65/2,682.11
  6. Step 6: Final answer
    x = 3,017.98

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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.