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Finding the Fourth Proportional to 1,639.44, 2,457.54 and 665.82

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Solution

The fourth proportional to 1,639.44, 2,457.54 and 665.82 is: 998.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.44 : 2,457.54 = 665.82 : x
  2. Step 2: Convert to fraction form
    1,639.44/2,457.54 = 665.82/x
  3. Step 3: Cross multiply
    1,639.44x = 2,457.54 × 665.82
  4. Step 4: Simplify right side
    1,639.44x = 1,636,279.28
  5. Step 5: Solve for x
    x = 1,636,279.28/1,639.44
  6. Step 6: Final answer
    x = 998.07

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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.