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Finding the Fourth Proportional to 1,806.94, 2,493.58 and 978.94

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Solution

The fourth proportional to 1,806.94, 2,493.58 and 978.94 is: 1,350.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.94 : 2,493.58 = 978.94 : x
  2. Step 2: Convert to fraction form
    1,806.94/2,493.58 = 978.94/x
  3. Step 3: Cross multiply
    1,806.94x = 2,493.58 × 978.94
  4. Step 4: Simplify right side
    1,806.94x = 2,441,056.52
  5. Step 5: Solve for x
    x = 2,441,056.52/1,806.94
  6. Step 6: Final answer
    x = 1,350.94

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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.