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Finding the Fourth Proportional to 2,130.37, 3,195.59 and 669.54

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Solution

The fourth proportional to 2,130.37, 3,195.59 and 669.54 is: 1,004.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.37 : 3,195.59 = 669.54 : x
  2. Step 2: Convert to fraction form
    2,130.37/3,195.59 = 669.54/x
  3. Step 3: Cross multiply
    2,130.37x = 3,195.59 × 669.54
  4. Step 4: Simplify right side
    2,130.37x = 2,139,575.33
  5. Step 5: Solve for x
    x = 2,139,575.33/2,130.37
  6. Step 6: Final answer
    x = 1,004.32

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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.