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Finding the Fourth Proportional to 1,623.43, 2,434.82 and 649.40

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Solution

The fourth proportional to 1,623.43, 2,434.82 and 649.40 is: 973.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.43 : 2,434.82 = 649.40 : x
  2. Step 2: Convert to fraction form
    1,623.43/2,434.82 = 649.40/x
  3. Step 3: Cross multiply
    1,623.43x = 2,434.82 × 649.40
  4. Step 4: Simplify right side
    1,623.43x = 1,581,168.86
  5. Step 5: Solve for x
    x = 1,581,168.86/1,623.43
  6. Step 6: Final answer
    x = 973.97

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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.