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Finding the Fourth Proportional to 2,519.46, 3,779.47 and 670.65

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Solution

The fourth proportional to 2,519.46, 3,779.47 and 670.65 is: 1,006.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.46 : 3,779.47 = 670.65 : x
  2. Step 2: Convert to fraction form
    2,519.46/3,779.47 = 670.65/x
  3. Step 3: Cross multiply
    2,519.46x = 3,779.47 × 670.65
  4. Step 4: Simplify right side
    2,519.46x = 2,534,682.66
  5. Step 5: Solve for x
    x = 2,534,682.66/2,519.46
  6. Step 6: Final answer
    x = 1,006.04

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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.