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Finding the Fourth Proportional to 2,992.56, 4,129.82 and 1,733.82

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Solution

The fourth proportional to 2,992.56, 4,129.82 and 1,733.82 is: 2,392.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.56 : 4,129.82 = 1,733.82 : x
  2. Step 2: Convert to fraction form
    2,992.56/4,129.82 = 1,733.82/x
  3. Step 3: Cross multiply
    2,992.56x = 4,129.82 × 1,733.82
  4. Step 4: Simplify right side
    2,992.56x = 7,160,364.51
  5. Step 5: Solve for x
    x = 7,160,364.51/2,992.56
  6. Step 6: Final answer
    x = 2,392.72

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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.