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Finding the Fourth Proportional to 1,264.13, 1,893.25 and 1,220.34

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Solution

The fourth proportional to 1,264.13, 1,893.25 and 1,220.34 is: 1,827.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.13 : 1,893.25 = 1,220.34 : x
  2. Step 2: Convert to fraction form
    1,264.13/1,893.25 = 1,220.34/x
  3. Step 3: Cross multiply
    1,264.13x = 1,893.25 × 1,220.34
  4. Step 4: Simplify right side
    1,264.13x = 2,310,408.71
  5. Step 5: Solve for x
    x = 2,310,408.71/1,264.13
  6. Step 6: Final answer
    x = 1,827.67

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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.