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Finding the Fourth Proportional to 1,606.65, 2,410.34 and 682.24

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Solution

The fourth proportional to 1,606.65, 2,410.34 and 682.24 is: 1,023.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.65 : 2,410.34 = 682.24 : x
  2. Step 2: Convert to fraction form
    1,606.65/2,410.34 = 682.24/x
  3. Step 3: Cross multiply
    1,606.65x = 2,410.34 × 682.24
  4. Step 4: Simplify right side
    1,606.65x = 1,644,430.36
  5. Step 5: Solve for x
    x = 1,644,430.36/1,606.65
  6. Step 6: Final answer
    x = 1,023.51

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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.