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Finding the Fourth Proportional to 1,219.41, 1,677.78 and 1,053.09

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Solution

The fourth proportional to 1,219.41, 1,677.78 and 1,053.09 is: 1,448.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.41 : 1,677.78 = 1,053.09 : x
  2. Step 2: Convert to fraction form
    1,219.41/1,677.78 = 1,053.09/x
  3. Step 3: Cross multiply
    1,219.41x = 1,677.78 × 1,053.09
  4. Step 4: Simplify right side
    1,219.41x = 1,766,853.34
  5. Step 5: Solve for x
    x = 1,766,853.34/1,219.41
  6. Step 6: Final answer
    x = 1,448.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.