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Finding the Fourth Proportional to 3,085.65, 4,629 and 1,699.65

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Solution

The fourth proportional to 3,085.65, 4,629 and 1,699.65 is: 2,549.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.65 : 4,629 = 1,699.65 : x
  2. Step 2: Convert to fraction form
    3,085.65/4,629 = 1,699.65/x
  3. Step 3: Cross multiply
    3,085.65x = 4,629 × 1,699.65
  4. Step 4: Simplify right side
    3,085.65x = 7,867,679.85
  5. Step 5: Solve for x
    x = 7,867,679.85/3,085.65
  6. Step 6: Final answer
    x = 2,549.76

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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.