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Finding the Fourth Proportional to 2,820.89, 4,231.79 and 971.55

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Solution

The fourth proportional to 2,820.89, 4,231.79 and 971.55 is: 1,457.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.89 : 4,231.79 = 971.55 : x
  2. Step 2: Convert to fraction form
    2,820.89/4,231.79 = 971.55/x
  3. Step 3: Cross multiply
    2,820.89x = 4,231.79 × 971.55
  4. Step 4: Simplify right side
    2,820.89x = 4,111,390.72
  5. Step 5: Solve for x
    x = 4,111,390.72/2,820.89
  6. Step 6: Final answer
    x = 1,457.48

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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.