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Finding the Fourth Proportional to 2,273.42, 3,410.67 and 975.26

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Solution

The fourth proportional to 2,273.42, 3,410.67 and 975.26 is: 1,463.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.42 : 3,410.67 = 975.26 : x
  2. Step 2: Convert to fraction form
    2,273.42/3,410.67 = 975.26/x
  3. Step 3: Cross multiply
    2,273.42x = 3,410.67 × 975.26
  4. Step 4: Simplify right side
    2,273.42x = 3,326,290.02
  5. Step 5: Solve for x
    x = 3,326,290.02/2,273.42
  6. Step 6: Final answer
    x = 1,463.12

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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.