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Finding the Fourth Proportional to 2,338.43, 3,510.36 and 1,642.23

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Solution

The fourth proportional to 2,338.43, 3,510.36 and 1,642.23 is: 2,465.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.43 : 3,510.36 = 1,642.23 : x
  2. Step 2: Convert to fraction form
    2,338.43/3,510.36 = 1,642.23/x
  3. Step 3: Cross multiply
    2,338.43x = 3,510.36 × 1,642.23
  4. Step 4: Simplify right side
    2,338.43x = 5,764,818.50
  5. Step 5: Solve for x
    x = 5,764,818.50/2,338.43
  6. Step 6: Final answer
    x = 2,465.26

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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.