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Finding the Fourth Proportional to 2,636.93, 3,955.36 and 788.00

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Solution

The fourth proportional to 2,636.93, 3,955.36 and 788.00 is: 1,181.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.93 : 3,955.36 = 788.00 : x
  2. Step 2: Convert to fraction form
    2,636.93/3,955.36 = 788.00/x
  3. Step 3: Cross multiply
    2,636.93x = 3,955.36 × 788.00
  4. Step 4: Simplify right side
    2,636.93x = 3,116,834.57
  5. Step 5: Solve for x
    x = 3,116,834.57/2,636.93
  6. Step 6: Final answer
    x = 1,181.99

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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.