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Finding the Fourth Proportional to 1,478.88, 2,213.37 and 1,111.14

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Solution

The fourth proportional to 1,478.88, 2,213.37 and 1,111.14 is: 1,662.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.88 : 2,213.37 = 1,111.14 : x
  2. Step 2: Convert to fraction form
    1,478.88/2,213.37 = 1,111.14/x
  3. Step 3: Cross multiply
    1,478.88x = 2,213.37 × 1,111.14
  4. Step 4: Simplify right side
    1,478.88x = 2,459,363.94
  5. Step 5: Solve for x
    x = 2,459,363.94/1,478.88
  6. Step 6: Final answer
    x = 1,662.99

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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.