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Finding the Fourth Proportional to 2,617.65, 3,926.47 and 669.85

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Solution

The fourth proportional to 2,617.65, 3,926.47 and 669.85 is: 1,004.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.65 : 3,926.47 = 669.85 : x
  2. Step 2: Convert to fraction form
    2,617.65/3,926.47 = 669.85/x
  3. Step 3: Cross multiply
    2,617.65x = 3,926.47 × 669.85
  4. Step 4: Simplify right side
    2,617.65x = 2,630,145.93
  5. Step 5: Solve for x
    x = 2,630,145.93/2,617.65
  6. Step 6: Final answer
    x = 1,004.77

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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.