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Finding the Fourth Proportional to 1,935.32, 2,903.18 and 961.16

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Solution

The fourth proportional to 1,935.32, 2,903.18 and 961.16 is: 1,441.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.32 : 2,903.18 = 961.16 : x
  2. Step 2: Convert to fraction form
    1,935.32/2,903.18 = 961.16/x
  3. Step 3: Cross multiply
    1,935.32x = 2,903.18 × 961.16
  4. Step 4: Simplify right side
    1,935.32x = 2,790,401.17
  5. Step 5: Solve for x
    x = 2,790,401.17/1,935.32
  6. Step 6: Final answer
    x = 1,441.83

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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.