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Finding the Fourth Proportional to 1,747.26, 2,620.98 and 651.24

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Solution

The fourth proportional to 1,747.26, 2,620.98 and 651.24 is: 976.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.26 : 2,620.98 = 651.24 : x
  2. Step 2: Convert to fraction form
    1,747.26/2,620.98 = 651.24/x
  3. Step 3: Cross multiply
    1,747.26x = 2,620.98 × 651.24
  4. Step 4: Simplify right side
    1,747.26x = 1,706,887.02
  5. Step 5: Solve for x
    x = 1,706,887.02/1,747.26
  6. Step 6: Final answer
    x = 976.89

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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.