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Finding the Fourth Proportional to 1,664.62, 2,495.48 and 935.26

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Solution

The fourth proportional to 1,664.62, 2,495.48 and 935.26 is: 1,402.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.62 : 2,495.48 = 935.26 : x
  2. Step 2: Convert to fraction form
    1,664.62/2,495.48 = 935.26/x
  3. Step 3: Cross multiply
    1,664.62x = 2,495.48 × 935.26
  4. Step 4: Simplify right side
    1,664.62x = 2,333,922.62
  5. Step 5: Solve for x
    x = 2,333,922.62/1,664.62
  6. Step 6: Final answer
    x = 1,402.08

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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.