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Finding the Fourth Proportional to 1,301.00, 1,946.16 and 971.73

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Solution

The fourth proportional to 1,301.00, 1,946.16 and 971.73 is: 1,453.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.00 : 1,946.16 = 971.73 : x
  2. Step 2: Convert to fraction form
    1,301.00/1,946.16 = 971.73/x
  3. Step 3: Cross multiply
    1,301.00x = 1,946.16 × 971.73
  4. Step 4: Simplify right side
    1,301.00x = 1,891,142.06
  5. Step 5: Solve for x
    x = 1,891,142.06/1,301.00
  6. Step 6: Final answer
    x = 1,453.61

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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.