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Finding the Fourth Proportional to 2,157.75, 2,976.95 and 1,318.16

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Solution

The fourth proportional to 2,157.75, 2,976.95 and 1,318.16 is: 1,818.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.75 : 2,976.95 = 1,318.16 : x
  2. Step 2: Convert to fraction form
    2,157.75/2,976.95 = 1,318.16/x
  3. Step 3: Cross multiply
    2,157.75x = 2,976.95 × 1,318.16
  4. Step 4: Simplify right side
    2,157.75x = 3,924,074.94
  5. Step 5: Solve for x
    x = 3,924,074.94/2,157.75
  6. Step 6: Final answer
    x = 1,818.60

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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.