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Finding the Fourth Proportional to 2,515.84, 3,773.64 and 1,213.36

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Solution

The fourth proportional to 2,515.84, 3,773.64 and 1,213.36 is: 1,819.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,515.84 : 3,773.64 = 1,213.36 : x
  2. Step 2: Convert to fraction form
    2,515.84/3,773.64 = 1,213.36/x
  3. Step 3: Cross multiply
    2,515.84x = 3,773.64 × 1,213.36
  4. Step 4: Simplify right side
    2,515.84x = 4,578,783.83
  5. Step 5: Solve for x
    x = 4,578,783.83/2,515.84
  6. Step 6: Final answer
    x = 1,819.98

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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.