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Finding the Fourth Proportional to 1,744.52, 2,617.05 and 590

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Solution

The fourth proportional to 1,744.52, 2,617.05 and 590 is: 885.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.52 : 2,617.05 = 590 : x
  2. Step 2: Convert to fraction form
    1,744.52/2,617.05 = 590/x
  3. Step 3: Cross multiply
    1,744.52x = 2,617.05 × 590
  4. Step 4: Simplify right side
    1,744.52x = 1,544,059.50
  5. Step 5: Solve for x
    x = 1,544,059.50/1,744.52
  6. Step 6: Final answer
    x = 885.09

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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.