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Finding the Fourth Proportional to 1,208.61, 1,823.27 and 1,171.76

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Solution

The fourth proportional to 1,208.61, 1,823.27 and 1,171.76 is: 1,767.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.61 : 1,823.27 = 1,171.76 : x
  2. Step 2: Convert to fraction form
    1,208.61/1,823.27 = 1,171.76/x
  3. Step 3: Cross multiply
    1,208.61x = 1,823.27 × 1,171.76
  4. Step 4: Simplify right side
    1,208.61x = 2,136,419.88
  5. Step 5: Solve for x
    x = 2,136,419.88/1,208.61
  6. Step 6: Final answer
    x = 1,767.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.