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Finding the Fourth Proportional to 1,811.35, 2,706.69 and 1,519.75

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Solution

The fourth proportional to 1,811.35, 2,706.69 and 1,519.75 is: 2,270.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.35 : 2,706.69 = 1,519.75 : x
  2. Step 2: Convert to fraction form
    1,811.35/2,706.69 = 1,519.75/x
  3. Step 3: Cross multiply
    1,811.35x = 2,706.69 × 1,519.75
  4. Step 4: Simplify right side
    1,811.35x = 4,113,492.13
  5. Step 5: Solve for x
    x = 4,113,492.13/1,811.35
  6. Step 6: Final answer
    x = 2,270.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.