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Finding the Fourth Proportional to 2,596.67, 3,586.70 and 1,814.21

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Solution

The fourth proportional to 2,596.67, 3,586.70 and 1,814.21 is: 2,505.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.67 : 3,586.70 = 1,814.21 : x
  2. Step 2: Convert to fraction form
    2,596.67/3,586.70 = 1,814.21/x
  3. Step 3: Cross multiply
    2,596.67x = 3,586.70 × 1,814.21
  4. Step 4: Simplify right side
    2,596.67x = 6,507,013.61
  5. Step 5: Solve for x
    x = 6,507,013.61/2,596.67
  6. Step 6: Final answer
    x = 2,505.91

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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.