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Finding the Fourth Proportional to 2,921.73, 4,379.80 and 972.57

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Solution

The fourth proportional to 2,921.73, 4,379.80 and 972.57 is: 1,457.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,921.73 : 4,379.80 = 972.57 : x
  2. Step 2: Convert to fraction form
    2,921.73/4,379.80 = 972.57/x
  3. Step 3: Cross multiply
    2,921.73x = 4,379.80 × 972.57
  4. Step 4: Simplify right side
    2,921.73x = 4,259,662.09
  5. Step 5: Solve for x
    x = 4,259,662.09/2,921.73
  6. Step 6: Final answer
    x = 1,457.92

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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.