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Finding the Fourth Proportional to 2,287.42, 3,431.97 and 971.46

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Solution

The fourth proportional to 2,287.42, 3,431.97 and 971.46 is: 1,457.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.42 : 3,431.97 = 971.46 : x
  2. Step 2: Convert to fraction form
    2,287.42/3,431.97 = 971.46/x
  3. Step 3: Cross multiply
    2,287.42x = 3,431.97 × 971.46
  4. Step 4: Simplify right side
    2,287.42x = 3,334,021.58
  5. Step 5: Solve for x
    x = 3,334,021.58/2,287.42
  6. Step 6: Final answer
    x = 1,457.55

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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.