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Finding the Fourth Proportional to 3,134.99, 4,703.30 and 1,673.75

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Solution

The fourth proportional to 3,134.99, 4,703.30 and 1,673.75 is: 2,511.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.99 : 4,703.30 = 1,673.75 : x
  2. Step 2: Convert to fraction form
    3,134.99/4,703.30 = 1,673.75/x
  3. Step 3: Cross multiply
    3,134.99x = 4,703.30 × 1,673.75
  4. Step 4: Simplify right side
    3,134.99x = 7,872,148.38
  5. Step 5: Solve for x
    x = 7,872,148.38/3,134.99
  6. Step 6: Final answer
    x = 2,511.06

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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.