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Finding the Fourth Proportional to 2,971.20, 4,457.58 and 891.12

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Solution

The fourth proportional to 2,971.20, 4,457.58 and 891.12 is: 1,336.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.20 : 4,457.58 = 891.12 : x
  2. Step 2: Convert to fraction form
    2,971.20/4,457.58 = 891.12/x
  3. Step 3: Cross multiply
    2,971.20x = 4,457.58 × 891.12
  4. Step 4: Simplify right side
    2,971.20x = 3,972,238.69
  5. Step 5: Solve for x
    x = 3,972,238.69/2,971.20
  6. Step 6: Final answer
    x = 1,336.91

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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.