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Finding the Fourth Proportional to 2,130.48, 3,194.91 and 669.24

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Solution

The fourth proportional to 2,130.48, 3,194.91 and 669.24 is: 1,003.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.48 : 3,194.91 = 669.24 : x
  2. Step 2: Convert to fraction form
    2,130.48/3,194.91 = 669.24/x
  3. Step 3: Cross multiply
    2,130.48x = 3,194.91 × 669.24
  4. Step 4: Simplify right side
    2,130.48x = 2,138,161.57
  5. Step 5: Solve for x
    x = 2,138,161.57/2,130.48
  6. Step 6: Final answer
    x = 1,003.61

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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.