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Finding the Fourth Proportional to 2,992.65, 4,491.32 and 2,074.65

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Solution

The fourth proportional to 2,992.65, 4,491.32 and 2,074.65 is: 3,113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.65 : 4,491.32 = 2,074.65 : x
  2. Step 2: Convert to fraction form
    2,992.65/4,491.32 = 2,074.65/x
  3. Step 3: Cross multiply
    2,992.65x = 4,491.32 × 2,074.65
  4. Step 4: Simplify right side
    2,992.65x = 9,317,889.82
  5. Step 5: Solve for x
    x = 9,317,889.82/2,992.65
  6. Step 6: Final answer
    x = 3,113.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.