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Finding the Fourth Proportional to 3,129.96, 4,695.39 and 1,182

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Solution

The fourth proportional to 3,129.96, 4,695.39 and 1,182 is: 1,773.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.96 : 4,695.39 = 1,182 : x
  2. Step 2: Convert to fraction form
    3,129.96/4,695.39 = 1,182/x
  3. Step 3: Cross multiply
    3,129.96x = 4,695.39 × 1,182
  4. Step 4: Simplify right side
    3,129.96x = 5,549,950.98
  5. Step 5: Solve for x
    x = 5,549,950.98/3,129.96
  6. Step 6: Final answer
    x = 1,773.17

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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.