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Finding the Fourth Proportional to 2,971.44, 4,457.88 and 891.44

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Solution

The fourth proportional to 2,971.44, 4,457.88 and 891.44 is: 1,337.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.44 : 4,457.88 = 891.44 : x
  2. Step 2: Convert to fraction form
    2,971.44/4,457.88 = 891.44/x
  3. Step 3: Cross multiply
    2,971.44x = 4,457.88 × 891.44
  4. Step 4: Simplify right side
    2,971.44x = 3,973,932.55
  5. Step 5: Solve for x
    x = 3,973,932.55/2,971.44
  6. Step 6: Final answer
    x = 1,337.38

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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.