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Finding the Fourth Proportional to 1,890.24, 2,834.44 and 573.75

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Solution

The fourth proportional to 1,890.24, 2,834.44 and 573.75 is: 860.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.24 : 2,834.44 = 573.75 : x
  2. Step 2: Convert to fraction form
    1,890.24/2,834.44 = 573.75/x
  3. Step 3: Cross multiply
    1,890.24x = 2,834.44 × 573.75
  4. Step 4: Simplify right side
    1,890.24x = 1,626,259.95
  5. Step 5: Solve for x
    x = 1,626,259.95/1,890.24
  6. Step 6: Final answer
    x = 860.35

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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.