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Finding the Fourth Proportional to 2,461.59, 3,396.87 and 1,342.53

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Solution

The fourth proportional to 2,461.59, 3,396.87 and 1,342.53 is: 1,852.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.59 : 3,396.87 = 1,342.53 : x
  2. Step 2: Convert to fraction form
    2,461.59/3,396.87 = 1,342.53/x
  3. Step 3: Cross multiply
    2,461.59x = 3,396.87 × 1,342.53
  4. Step 4: Simplify right side
    2,461.59x = 4,560,399.88
  5. Step 5: Solve for x
    x = 4,560,399.88/2,461.59
  6. Step 6: Final answer
    x = 1,852.62

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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.