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Finding the Fourth Proportional to 1,536.06, 2,302.86 and 669.75

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Solution

The fourth proportional to 1,536.06, 2,302.86 and 669.75 is: 1,004.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.06 : 2,302.86 = 669.75 : x
  2. Step 2: Convert to fraction form
    1,536.06/2,302.86 = 669.75/x
  3. Step 3: Cross multiply
    1,536.06x = 2,302.86 × 669.75
  4. Step 4: Simplify right side
    1,536.06x = 1,542,340.49
  5. Step 5: Solve for x
    x = 1,542,340.49/1,536.06
  6. Step 6: Final answer
    x = 1,004.09

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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.