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Finding the Fourth Proportional to 1,664.34, 2,296.90 and 918.37

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Solution

The fourth proportional to 1,664.34, 2,296.90 and 918.37 is: 1,267.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.34 : 2,296.90 = 918.37 : x
  2. Step 2: Convert to fraction form
    1,664.34/2,296.90 = 918.37/x
  3. Step 3: Cross multiply
    1,664.34x = 2,296.90 × 918.37
  4. Step 4: Simplify right side
    1,664.34x = 2,109,404.05
  5. Step 5: Solve for x
    x = 2,109,404.05/1,664.34
  6. Step 6: Final answer
    x = 1,267.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.