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Finding the Fourth Proportional to 2,350.41, 3,243.40 and 1,406.76

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Solution

The fourth proportional to 2,350.41, 3,243.40 and 1,406.76 is: 1,941.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.41 : 3,243.40 = 1,406.76 : x
  2. Step 2: Convert to fraction form
    2,350.41/3,243.40 = 1,406.76/x
  3. Step 3: Cross multiply
    2,350.41x = 3,243.40 × 1,406.76
  4. Step 4: Simplify right side
    2,350.41x = 4,562,685.38
  5. Step 5: Solve for x
    x = 4,562,685.38/2,350.41
  6. Step 6: Final answer
    x = 1,941.23

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Why These Related Problems?

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