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Finding the Fourth Proportional to 2,512, 3,769.62 and 973

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Solution

The fourth proportional to 2,512, 3,769.62 and 973 is: 1,460.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512 : 3,769.62 = 973 : x
  2. Step 2: Convert to fraction form
    2,512/3,769.62 = 973/x
  3. Step 3: Cross multiply
    2,512x = 3,769.62 × 973
  4. Step 4: Simplify right side
    2,512x = 3,667,840.26
  5. Step 5: Solve for x
    x = 3,667,840.26/2,512
  6. Step 6: Final answer
    x = 1,460.13

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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.