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Finding the Fourth Proportional to 1,962.72, 2,708.64 and 1,177.44

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Solution

The fourth proportional to 1,962.72, 2,708.64 and 1,177.44 is: 1,624.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.72 : 2,708.64 = 1,177.44 : x
  2. Step 2: Convert to fraction form
    1,962.72/2,708.64 = 1,177.44/x
  3. Step 3: Cross multiply
    1,962.72x = 2,708.64 × 1,177.44
  4. Step 4: Simplify right side
    1,962.72x = 3,189,261.08
  5. Step 5: Solve for x
    x = 3,189,261.08/1,962.72
  6. Step 6: Final answer
    x = 1,624.92

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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.