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Finding the Fourth Proportional to 1,466.96, 2,189.94 and 1,415.67

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Solution

The fourth proportional to 1,466.96, 2,189.94 and 1,415.67 is: 2,113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.96 : 2,189.94 = 1,415.67 : x
  2. Step 2: Convert to fraction form
    1,466.96/2,189.94 = 1,415.67/x
  3. Step 3: Cross multiply
    1,466.96x = 2,189.94 × 1,415.67
  4. Step 4: Simplify right side
    1,466.96x = 3,100,232.36
  5. Step 5: Solve for x
    x = 3,100,232.36/1,466.96
  6. Step 6: Final answer
    x = 2,113.38

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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.