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Finding the Fourth Proportional to 3,000.65, 4,140.92 and 1,741.79

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Solution

The fourth proportional to 3,000.65, 4,140.92 and 1,741.79 is: 2,403.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.65 : 4,140.92 = 1,741.79 : x
  2. Step 2: Convert to fraction form
    3,000.65/4,140.92 = 1,741.79/x
  3. Step 3: Cross multiply
    3,000.65x = 4,140.92 × 1,741.79
  4. Step 4: Simplify right side
    3,000.65x = 7,212,627.75
  5. Step 5: Solve for x
    x = 7,212,627.75/3,000.65
  6. Step 6: Final answer
    x = 2,403.69

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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.