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Finding the Fourth Proportional to 1,213.60, 1,821.36 and 1,119.52

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Solution

The fourth proportional to 1,213.60, 1,821.36 and 1,119.52 is: 1,680.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.60 : 1,821.36 = 1,119.52 : x
  2. Step 2: Convert to fraction form
    1,213.60/1,821.36 = 1,119.52/x
  3. Step 3: Cross multiply
    1,213.60x = 1,821.36 × 1,119.52
  4. Step 4: Simplify right side
    1,213.60x = 2,039,048.95
  5. Step 5: Solve for x
    x = 2,039,048.95/1,213.60
  6. Step 6: Final answer
    x = 1,680.17

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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.