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Finding the Fourth Proportional to 1,588.52, 2,193 and 1,196.48

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Solution

The fourth proportional to 1,588.52, 2,193 and 1,196.48 is: 1,651.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.52 : 2,193 = 1,196.48 : x
  2. Step 2: Convert to fraction form
    1,588.52/2,193 = 1,196.48/x
  3. Step 3: Cross multiply
    1,588.52x = 2,193 × 1,196.48
  4. Step 4: Simplify right side
    1,588.52x = 2,623,880.64
  5. Step 5: Solve for x
    x = 2,623,880.64/1,588.52
  6. Step 6: Final answer
    x = 1,651.78

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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.