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Finding the Fourth Proportional to 3,140.46, 4,333.95 and 1,814.31

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Solution

The fourth proportional to 3,140.46, 4,333.95 and 1,814.31 is: 2,503.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.46 : 4,333.95 = 1,814.31 : x
  2. Step 2: Convert to fraction form
    3,140.46/4,333.95 = 1,814.31/x
  3. Step 3: Cross multiply
    3,140.46x = 4,333.95 × 1,814.31
  4. Step 4: Simplify right side
    3,140.46x = 7,863,128.82
  5. Step 5: Solve for x
    x = 7,863,128.82/3,140.46
  6. Step 6: Final answer
    x = 2,503.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.