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Finding the Fourth Proportional to 2,992.32, 4,129.62 and 1,733.70

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Solution

The fourth proportional to 2,992.32, 4,129.62 and 1,733.70 is: 2,392.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.32 : 4,129.62 = 1,733.70 : x
  2. Step 2: Convert to fraction form
    2,992.32/4,129.62 = 1,733.70/x
  3. Step 3: Cross multiply
    2,992.32x = 4,129.62 × 1,733.70
  4. Step 4: Simplify right side
    2,992.32x = 7,159,522.19
  5. Step 5: Solve for x
    x = 7,159,522.19/2,992.32
  6. Step 6: Final answer
    x = 2,392.63

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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.