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Finding the Fourth Proportional to 2,185.17, 3,013.14 and 1,902.89

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Solution

The fourth proportional to 2,185.17, 3,013.14 and 1,902.89 is: 2,623.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.17 : 3,013.14 = 1,902.89 : x
  2. Step 2: Convert to fraction form
    2,185.17/3,013.14 = 1,902.89/x
  3. Step 3: Cross multiply
    2,185.17x = 3,013.14 × 1,902.89
  4. Step 4: Simplify right side
    2,185.17x = 5,733,658.91
  5. Step 5: Solve for x
    x = 5,733,658.91/2,185.17
  6. Step 6: Final answer
    x = 2,623.90

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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.