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Finding the Fourth Proportional to 2,387.34, 3,297.03 and 1,643.22

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Solution

The fourth proportional to 2,387.34, 3,297.03 and 1,643.22 is: 2,269.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.34 : 3,297.03 = 1,643.22 : x
  2. Step 2: Convert to fraction form
    2,387.34/3,297.03 = 1,643.22/x
  3. Step 3: Cross multiply
    2,387.34x = 3,297.03 × 1,643.22
  4. Step 4: Simplify right side
    2,387.34x = 5,417,720.94
  5. Step 5: Solve for x
    x = 5,417,720.94/2,387.34
  6. Step 6: Final answer
    x = 2,269.36

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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.