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Finding the Fourth Proportional to 2,935.49, 4,403.62 and 960.43

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Solution

The fourth proportional to 2,935.49, 4,403.62 and 960.43 is: 1,440.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.49 : 4,403.62 = 960.43 : x
  2. Step 2: Convert to fraction form
    2,935.49/4,403.62 = 960.43/x
  3. Step 3: Cross multiply
    2,935.49x = 4,403.62 × 960.43
  4. Step 4: Simplify right side
    2,935.49x = 4,229,368.76
  5. Step 5: Solve for x
    x = 4,229,368.76/2,935.49
  6. Step 6: Final answer
    x = 1,440.77

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1.5x scale

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.