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Finding the Fourth Proportional to 1,348.63, 2,011.21 and 1,199.31

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Solution

The fourth proportional to 1,348.63, 2,011.21 and 1,199.31 is: 1,788.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.63 : 2,011.21 = 1,199.31 : x
  2. Step 2: Convert to fraction form
    1,348.63/2,011.21 = 1,199.31/x
  3. Step 3: Cross multiply
    1,348.63x = 2,011.21 × 1,199.31
  4. Step 4: Simplify right side
    1,348.63x = 2,412,053.72
  5. Step 5: Solve for x
    x = 2,412,053.72/1,348.63
  6. Step 6: Final answer
    x = 1,788.52

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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.