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Finding the Fourth Proportional to 2,176.92, 3,003.44 and 1,232.63

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Solution

The fourth proportional to 2,176.92, 3,003.44 and 1,232.63 is: 1,700.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.92 : 3,003.44 = 1,232.63 : x
  2. Step 2: Convert to fraction form
    2,176.92/3,003.44 = 1,232.63/x
  3. Step 3: Cross multiply
    2,176.92x = 3,003.44 × 1,232.63
  4. Step 4: Simplify right side
    2,176.92x = 3,702,109.07
  5. Step 5: Solve for x
    x = 3,702,109.07/2,176.92
  6. Step 6: Final answer
    x = 1,700.62

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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.