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Finding the Fourth Proportional to 2,987.82, 4,484.16 and 2,246.67

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Solution

The fourth proportional to 2,987.82, 4,484.16 and 2,246.67 is: 3,371.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.82 : 4,484.16 = 2,246.67 : x
  2. Step 2: Convert to fraction form
    2,987.82/4,484.16 = 2,246.67/x
  3. Step 3: Cross multiply
    2,987.82x = 4,484.16 × 2,246.67
  4. Step 4: Simplify right side
    2,987.82x = 10,074,427.75
  5. Step 5: Solve for x
    x = 10,074,427.75/2,987.82
  6. Step 6: Final answer
    x = 3,371.83

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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.