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Finding the Fourth Proportional to 2,969.58, 4,097.35 and 2,261.26

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Solution

The fourth proportional to 2,969.58, 4,097.35 and 2,261.26 is: 3,120.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.58 : 4,097.35 = 2,261.26 : x
  2. Step 2: Convert to fraction form
    2,969.58/4,097.35 = 2,261.26/x
  3. Step 3: Cross multiply
    2,969.58x = 4,097.35 × 2,261.26
  4. Step 4: Simplify right side
    2,969.58x = 9,265,173.66
  5. Step 5: Solve for x
    x = 9,265,173.66/2,969.58
  6. Step 6: Final answer
    x = 3,120.03

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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.