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Finding the Fourth Proportional to 1,664.82, 2,498.24 and 924.99

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Solution

The fourth proportional to 1,664.82, 2,498.24 and 924.99 is: 1,388.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.82 : 2,498.24 = 924.99 : x
  2. Step 2: Convert to fraction form
    1,664.82/2,498.24 = 924.99/x
  3. Step 3: Cross multiply
    1,664.82x = 2,498.24 × 924.99
  4. Step 4: Simplify right side
    1,664.82x = 2,310,839.96
  5. Step 5: Solve for x
    x = 2,310,839.96/1,664.82
  6. Step 6: Final answer
    x = 1,388.04

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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.