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Finding the Fourth Proportional to 2,121.64, 2,927.16 and 1,282.60

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Solution

The fourth proportional to 2,121.64, 2,927.16 and 1,282.60 is: 1,769.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.64 : 2,927.16 = 1,282.60 : x
  2. Step 2: Convert to fraction form
    2,121.64/2,927.16 = 1,282.60/x
  3. Step 3: Cross multiply
    2,121.64x = 2,927.16 × 1,282.60
  4. Step 4: Simplify right side
    2,121.64x = 3,754,375.42
  5. Step 5: Solve for x
    x = 3,754,375.42/2,121.64
  6. Step 6: Final answer
    x = 1,769.56

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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.