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Finding the Fourth Proportional to 1,460.26, 2,190.72 and 582.80

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Solution

The fourth proportional to 1,460.26, 2,190.72 and 582.80 is: 874.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.26 : 2,190.72 = 582.80 : x
  2. Step 2: Convert to fraction form
    1,460.26/2,190.72 = 582.80/x
  3. Step 3: Cross multiply
    1,460.26x = 2,190.72 × 582.80
  4. Step 4: Simplify right side
    1,460.26x = 1,276,751.62
  5. Step 5: Solve for x
    x = 1,276,751.62/1,460.26
  6. Step 6: Final answer
    x = 874.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.