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Finding the Fourth Proportional to 1,664.99, 2,495.31 and 1,204.31

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Solution

The fourth proportional to 1,664.99, 2,495.31 and 1,204.31 is: 1,804.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.99 : 2,495.31 = 1,204.31 : x
  2. Step 2: Convert to fraction form
    1,664.99/2,495.31 = 1,204.31/x
  3. Step 3: Cross multiply
    1,664.99x = 2,495.31 × 1,204.31
  4. Step 4: Simplify right side
    1,664.99x = 3,005,126.79
  5. Step 5: Solve for x
    x = 3,005,126.79/1,664.99
  6. Step 6: Final answer
    x = 1,804.89

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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.