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Finding the Fourth Proportional to 1,960.15, 2,938.38 and 972.35

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Solution

The fourth proportional to 1,960.15, 2,938.38 and 972.35 is: 1,457.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.15 : 2,938.38 = 972.35 : x
  2. Step 2: Convert to fraction form
    1,960.15/2,938.38 = 972.35/x
  3. Step 3: Cross multiply
    1,960.15x = 2,938.38 × 972.35
  4. Step 4: Simplify right side
    1,960.15x = 2,857,143.00
  5. Step 5: Solve for x
    x = 2,857,143.00/1,960.15
  6. Step 6: Final answer
    x = 1,457.61

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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.