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Finding the Fourth Proportional to 2,176.82, 3,003.93 and 1,182.08

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Solution

The fourth proportional to 2,176.82, 3,003.93 and 1,182.08 is: 1,631.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.82 : 3,003.93 = 1,182.08 : x
  2. Step 2: Convert to fraction form
    2,176.82/3,003.93 = 1,182.08/x
  3. Step 3: Cross multiply
    2,176.82x = 3,003.93 × 1,182.08
  4. Step 4: Simplify right side
    2,176.82x = 3,550,885.57
  5. Step 5: Solve for x
    x = 3,550,885.57/2,176.82
  6. Step 6: Final answer
    x = 1,631.23

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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.