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Finding the Fourth Proportional to 2,379.12, 3,275.16 and 2,052

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Solution

The fourth proportional to 2,379.12, 3,275.16 and 2,052 is: 2,824.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.12 : 3,275.16 = 2,052 : x
  2. Step 2: Convert to fraction form
    2,379.12/3,275.16 = 2,052/x
  3. Step 3: Cross multiply
    2,379.12x = 3,275.16 × 2,052
  4. Step 4: Simplify right side
    2,379.12x = 6,720,628.32
  5. Step 5: Solve for x
    x = 6,720,628.32/2,379.12
  6. Step 6: Final answer
    x = 2,824.84

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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.