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Finding the Fourth Proportional to 1,640.37, 2,460.17 and 470.36

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Solution

The fourth proportional to 1,640.37, 2,460.17 and 470.36 is: 705.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.37 : 2,460.17 = 470.36 : x
  2. Step 2: Convert to fraction form
    1,640.37/2,460.17 = 470.36/x
  3. Step 3: Cross multiply
    1,640.37x = 2,460.17 × 470.36
  4. Step 4: Simplify right side
    1,640.37x = 1,157,165.56
  5. Step 5: Solve for x
    x = 1,157,165.56/1,640.37
  6. Step 6: Final answer
    x = 705.43

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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.