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Finding the Fourth Proportional to 3,091.04, 4,636.44 and 782.52

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Solution

The fourth proportional to 3,091.04, 4,636.44 and 782.52 is: 1,173.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.04 : 4,636.44 = 782.52 : x
  2. Step 2: Convert to fraction form
    3,091.04/4,636.44 = 782.52/x
  3. Step 3: Cross multiply
    3,091.04x = 4,636.44 × 782.52
  4. Step 4: Simplify right side
    3,091.04x = 3,628,107.03
  5. Step 5: Solve for x
    x = 3,628,107.03/3,091.04
  6. Step 6: Final answer
    x = 1,173.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.