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Finding the Fourth Proportional to 2,653.43, 3,658.70 and 1,904.99

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Solution

The fourth proportional to 2,653.43, 3,658.70 and 1,904.99 is: 2,626.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.43 : 3,658.70 = 1,904.99 : x
  2. Step 2: Convert to fraction form
    2,653.43/3,658.70 = 1,904.99/x
  3. Step 3: Cross multiply
    2,653.43x = 3,658.70 × 1,904.99
  4. Step 4: Simplify right side
    2,653.43x = 6,969,773.38
  5. Step 5: Solve for x
    x = 6,969,773.38/2,653.43
  6. Step 6: Final answer
    x = 2,626.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.