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Finding the Fourth Proportional to 2,821.65, 4,231.45 and 972.27

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Solution

The fourth proportional to 2,821.65, 4,231.45 and 972.27 is: 1,458.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.65 : 4,231.45 = 972.27 : x
  2. Step 2: Convert to fraction form
    2,821.65/4,231.45 = 972.27/x
  3. Step 3: Cross multiply
    2,821.65x = 4,231.45 × 972.27
  4. Step 4: Simplify right side
    2,821.65x = 4,114,113.11
  5. Step 5: Solve for x
    x = 4,114,113.11/2,821.65
  6. Step 6: Final answer
    x = 1,458.05

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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.