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Finding the Fourth Proportional to 2,343.50, 3,513.62 and 1,419.30

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Solution

The fourth proportional to 2,343.50, 3,513.62 and 1,419.30 is: 2,127.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.50 : 3,513.62 = 1,419.30 : x
  2. Step 2: Convert to fraction form
    2,343.50/3,513.62 = 1,419.30/x
  3. Step 3: Cross multiply
    2,343.50x = 3,513.62 × 1,419.30
  4. Step 4: Simplify right side
    2,343.50x = 4,986,880.87
  5. Step 5: Solve for x
    x = 4,986,880.87/2,343.50
  6. Step 6: Final answer
    x = 2,127.96

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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.