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Finding the Fourth Proportional to 2,731.41, 4,097.00 and 783.60

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Solution

The fourth proportional to 2,731.41, 4,097.00 and 783.60 is: 1,175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.41 : 4,097.00 = 783.60 : x
  2. Step 2: Convert to fraction form
    2,731.41/4,097.00 = 783.60/x
  3. Step 3: Cross multiply
    2,731.41x = 4,097.00 × 783.60
  4. Step 4: Simplify right side
    2,731.41x = 3,210,405.28
  5. Step 5: Solve for x
    x = 3,210,405.28/2,731.41
  6. Step 6: Final answer
    x = 1,175.37

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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.