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Finding the Fourth Proportional to 2,969.25, 4,458.93 and 2,475.15

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Solution

The fourth proportional to 2,969.25, 4,458.93 and 2,475.15 is: 3,716.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.25 : 4,458.93 = 2,475.15 : x
  2. Step 2: Convert to fraction form
    2,969.25/4,458.93 = 2,475.15/x
  3. Step 3: Cross multiply
    2,969.25x = 4,458.93 × 2,475.15
  4. Step 4: Simplify right side
    2,969.25x = 11,036,520.59
  5. Step 5: Solve for x
    x = 11,036,520.59/2,969.25
  6. Step 6: Final answer
    x = 3,716.94

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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.