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Finding the Fourth Proportional to 1,580.12, 2,179.94 and 990.44

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Solution

The fourth proportional to 1,580.12, 2,179.94 and 990.44 is: 1,366.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.12 : 2,179.94 = 990.44 : x
  2. Step 2: Convert to fraction form
    1,580.12/2,179.94 = 990.44/x
  3. Step 3: Cross multiply
    1,580.12x = 2,179.94 × 990.44
  4. Step 4: Simplify right side
    1,580.12x = 2,159,083.92
  5. Step 5: Solve for x
    x = 2,159,083.92/1,580.12
  6. Step 6: Final answer
    x = 1,366.41

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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.