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Finding the Fourth Proportional to 1,195.44, 1,652.67 and 1,184.51

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Solution

The fourth proportional to 1,195.44, 1,652.67 and 1,184.51 is: 1,637.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.44 : 1,652.67 = 1,184.51 : x
  2. Step 2: Convert to fraction form
    1,195.44/1,652.67 = 1,184.51/x
  3. Step 3: Cross multiply
    1,195.44x = 1,652.67 × 1,184.51
  4. Step 4: Simplify right side
    1,195.44x = 1,957,595.88
  5. Step 5: Solve for x
    x = 1,957,595.88/1,195.44
  6. Step 6: Final answer
    x = 1,637.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.