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Finding the Fourth Proportional to 2,055.96, 3,084.95 and 960.40

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Solution

The fourth proportional to 2,055.96, 3,084.95 and 960.40 is: 1,441.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.96 : 3,084.95 = 960.40 : x
  2. Step 2: Convert to fraction form
    2,055.96/3,084.95 = 960.40/x
  3. Step 3: Cross multiply
    2,055.96x = 3,084.95 × 960.40
  4. Step 4: Simplify right side
    2,055.96x = 2,962,792.24
  5. Step 5: Solve for x
    x = 2,962,792.24/2,055.96
  6. Step 6: Final answer
    x = 1,441.07

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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.