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Finding the Fourth Proportional to 1,634.50, 2,255.13 and 971.02

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Solution

The fourth proportional to 1,634.50, 2,255.13 and 971.02 is: 1,339.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.50 : 2,255.13 = 971.02 : x
  2. Step 2: Convert to fraction form
    1,634.50/2,255.13 = 971.02/x
  3. Step 3: Cross multiply
    1,634.50x = 2,255.13 × 971.02
  4. Step 4: Simplify right side
    1,634.50x = 2,189,776.33
  5. Step 5: Solve for x
    x = 2,189,776.33/1,634.50
  6. Step 6: Final answer
    x = 1,339.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.