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Finding the Fourth Proportional to 2,821.44, 4,231.11 and 972.04

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Solution

The fourth proportional to 2,821.44, 4,231.11 and 972.04 is: 1,457.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.44 : 4,231.11 = 972.04 : x
  2. Step 2: Convert to fraction form
    2,821.44/4,231.11 = 972.04/x
  3. Step 3: Cross multiply
    2,821.44x = 4,231.11 × 972.04
  4. Step 4: Simplify right side
    2,821.44x = 4,112,808.16
  5. Step 5: Solve for x
    x = 4,112,808.16/2,821.44
  6. Step 6: Final answer
    x = 1,457.70

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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.