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Finding the Fourth Proportional to 2,287.95, 3,431.23 and 971.67

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Solution

The fourth proportional to 2,287.95, 3,431.23 and 971.67 is: 1,457.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.95 : 3,431.23 = 971.67 : x
  2. Step 2: Convert to fraction form
    2,287.95/3,431.23 = 971.67/x
  3. Step 3: Cross multiply
    2,287.95x = 3,431.23 × 971.67
  4. Step 4: Simplify right side
    2,287.95x = 3,334,023.25
  5. Step 5: Solve for x
    x = 3,334,023.25/2,287.95
  6. Step 6: Final answer
    x = 1,457.21

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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.