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Finding the Fourth Proportional to 2,056.14, 3,084 and 960.72

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Solution

The fourth proportional to 2,056.14, 3,084 and 960.72 is: 1,440.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.14 : 3,084 = 960.72 : x
  2. Step 2: Convert to fraction form
    2,056.14/3,084 = 960.72/x
  3. Step 3: Cross multiply
    2,056.14x = 3,084 × 960.72
  4. Step 4: Simplify right side
    2,056.14x = 2,962,860.48
  5. Step 5: Solve for x
    x = 2,962,860.48/2,056.14
  6. Step 6: Final answer
    x = 1,440.98

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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.