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Finding the Fourth Proportional to 2,992.75, 4,130 and 1,750.75

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Solution

The fourth proportional to 2,992.75, 4,130 and 1,750.75 is: 2,416.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.75 : 4,130 = 1,750.75 : x
  2. Step 2: Convert to fraction form
    2,992.75/4,130 = 1,750.75/x
  3. Step 3: Cross multiply
    2,992.75x = 4,130 × 1,750.75
  4. Step 4: Simplify right side
    2,992.75x = 7,230,597.50
  5. Step 5: Solve for x
    x = 7,230,597.50/2,992.75
  6. Step 6: Final answer
    x = 2,416.04

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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.