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Finding the Fourth Proportional to 2,459.21, 3,690.02 and 2,136.02

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Solution

The fourth proportional to 2,459.21, 3,690.02 and 2,136.02 is: 3,205.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.21 : 3,690.02 = 2,136.02 : x
  2. Step 2: Convert to fraction form
    2,459.21/3,690.02 = 2,136.02/x
  3. Step 3: Cross multiply
    2,459.21x = 3,690.02 × 2,136.02
  4. Step 4: Simplify right side
    2,459.21x = 7,881,943.41
  5. Step 5: Solve for x
    x = 7,881,943.41/2,459.21
  6. Step 6: Final answer
    x = 3,205.08

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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.