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Finding the Fourth Proportional to 1,784.05, 2,461.96 and 998.09

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Solution

The fourth proportional to 1,784.05, 2,461.96 and 998.09 is: 1,377.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.05 : 2,461.96 = 998.09 : x
  2. Step 2: Convert to fraction form
    1,784.05/2,461.96 = 998.09/x
  3. Step 3: Cross multiply
    1,784.05x = 2,461.96 × 998.09
  4. Step 4: Simplify right side
    1,784.05x = 2,457,257.66
  5. Step 5: Solve for x
    x = 2,457,257.66/1,784.05
  6. Step 6: Final answer
    x = 1,377.35

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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.