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Finding the Fourth Proportional to 1,359.60, 2,038.20 and 1,213.80

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Solution

The fourth proportional to 1,359.60, 2,038.20 and 1,213.80 is: 1,819.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.60 : 2,038.20 = 1,213.80 : x
  2. Step 2: Convert to fraction form
    1,359.60/2,038.20 = 1,213.80/x
  3. Step 3: Cross multiply
    1,359.60x = 2,038.20 × 1,213.80
  4. Step 4: Simplify right side
    1,359.60x = 2,473,967.16
  5. Step 5: Solve for x
    x = 2,473,967.16/1,359.60
  6. Step 6: Final answer
    x = 1,819.63

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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.