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Finding the Fourth Proportional to 2,396.59, 3,305.10 and 1,510.85

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Solution

The fourth proportional to 2,396.59, 3,305.10 and 1,510.85 is: 2,083.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.59 : 3,305.10 = 1,510.85 : x
  2. Step 2: Convert to fraction form
    2,396.59/3,305.10 = 1,510.85/x
  3. Step 3: Cross multiply
    2,396.59x = 3,305.10 × 1,510.85
  4. Step 4: Simplify right side
    2,396.59x = 4,993,524.26
  5. Step 5: Solve for x
    x = 4,993,524.26/2,396.59
  6. Step 6: Final answer
    x = 2,083.60

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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.