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Finding the Fourth Proportional to 3,314.96, 4,575.12 and 1,971.32

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Solution

The fourth proportional to 3,314.96, 4,575.12 and 1,971.32 is: 2,720.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.96 : 4,575.12 = 1,971.32 : x
  2. Step 2: Convert to fraction form
    3,314.96/4,575.12 = 1,971.32/x
  3. Step 3: Cross multiply
    3,314.96x = 4,575.12 × 1,971.32
  4. Step 4: Simplify right side
    3,314.96x = 9,019,025.56
  5. Step 5: Solve for x
    x = 9,019,025.56/3,314.96
  6. Step 6: Final answer
    x = 2,720.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.