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Finding the Fourth Proportional to 2,709.13, 4,060.44 and 975.73

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Solution

The fourth proportional to 2,709.13, 4,060.44 and 975.73 is: 1,462.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.13 : 4,060.44 = 975.73 : x
  2. Step 2: Convert to fraction form
    2,709.13/4,060.44 = 975.73/x
  3. Step 3: Cross multiply
    2,709.13x = 4,060.44 × 975.73
  4. Step 4: Simplify right side
    2,709.13x = 3,961,893.12
  5. Step 5: Solve for x
    x = 3,961,893.12/2,709.13
  6. Step 6: Final answer
    x = 1,462.42

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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.