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Finding the Fourth Proportional to 1,664.58, 2,297.14 and 918.57

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Solution

The fourth proportional to 1,664.58, 2,297.14 and 918.57 is: 1,267.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.58 : 2,297.14 = 918.57 : x
  2. Step 2: Convert to fraction form
    1,664.58/2,297.14 = 918.57/x
  3. Step 3: Cross multiply
    1,664.58x = 2,297.14 × 918.57
  4. Step 4: Simplify right side
    1,664.58x = 2,110,078.72
  5. Step 5: Solve for x
    x = 2,110,078.72/1,664.58
  6. Step 6: Final answer
    x = 1,267.63

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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.