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Finding the Fourth Proportional to 2,616.37, 3,926.09 and 974.06

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Solution

The fourth proportional to 2,616.37, 3,926.09 and 974.06 is: 1,461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.37 : 3,926.09 = 974.06 : x
  2. Step 2: Convert to fraction form
    2,616.37/3,926.09 = 974.06/x
  3. Step 3: Cross multiply
    2,616.37x = 3,926.09 × 974.06
  4. Step 4: Simplify right side
    2,616.37x = 3,824,247.23
  5. Step 5: Solve for x
    x = 3,824,247.23/2,616.37
  6. Step 6: Final answer
    x = 1,461.66

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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.