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Finding the Fourth Proportional to 2,523, 3,784.59 and 674.22

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Solution

The fourth proportional to 2,523, 3,784.59 and 674.22 is: 1,011.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523 : 3,784.59 = 674.22 : x
  2. Step 2: Convert to fraction form
    2,523/3,784.59 = 674.22/x
  3. Step 3: Cross multiply
    2,523x = 3,784.59 × 674.22
  4. Step 4: Simplify right side
    2,523x = 2,551,646.27
  5. Step 5: Solve for x
    x = 2,551,646.27/2,523
  6. Step 6: Final answer
    x = 1,011.35

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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.