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Finding the Fourth Proportional to 2,971.76, 4,457.23 and 1,327.86

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Solution

The fourth proportional to 2,971.76, 4,457.23 and 1,327.86 is: 1,991.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.76 : 4,457.23 = 1,327.86 : x
  2. Step 2: Convert to fraction form
    2,971.76/4,457.23 = 1,327.86/x
  3. Step 3: Cross multiply
    2,971.76x = 4,457.23 × 1,327.86
  4. Step 4: Simplify right side
    2,971.76x = 5,918,574.11
  5. Step 5: Solve for x
    x = 5,918,574.11/2,971.76
  6. Step 6: Final answer
    x = 1,991.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.