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Finding the Fourth Proportional to 4,703.04, 7,049 and 1,779.44

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Solution

The fourth proportional to 4,703.04, 7,049 and 1,779.44 is: 2,667.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.04 : 7,049 = 1,779.44 : x
  2. Step 2: Convert to fraction form
    4,703.04/7,049 = 1,779.44/x
  3. Step 3: Cross multiply
    4,703.04x = 7,049 × 1,779.44
  4. Step 4: Simplify right side
    4,703.04x = 12,543,272.56
  5. Step 5: Solve for x
    x = 12,543,272.56/4,703.04
  6. Step 6: Final answer
    x = 2,667.06

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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.