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Finding the Fourth Proportional to 2,311.65, 3,463.83 and 1,792.89

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Solution

The fourth proportional to 2,311.65, 3,463.83 and 1,792.89 is: 2,686.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.65 : 3,463.83 = 1,792.89 : x
  2. Step 2: Convert to fraction form
    2,311.65/3,463.83 = 1,792.89/x
  3. Step 3: Cross multiply
    2,311.65x = 3,463.83 × 1,792.89
  4. Step 4: Simplify right side
    2,311.65x = 6,210,266.17
  5. Step 5: Solve for x
    x = 6,210,266.17/2,311.65
  6. Step 6: Final answer
    x = 2,686.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.