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Finding the Fourth Proportional to 1,664.51, 2,297.20 and 918.54

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Solution

The fourth proportional to 1,664.51, 2,297.20 and 918.54 is: 1,267.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.51 : 2,297.20 = 918.54 : x
  2. Step 2: Convert to fraction form
    1,664.51/2,297.20 = 918.54/x
  3. Step 3: Cross multiply
    1,664.51x = 2,297.20 × 918.54
  4. Step 4: Simplify right side
    1,664.51x = 2,110,074.03
  5. Step 5: Solve for x
    x = 2,110,074.03/1,664.51
  6. Step 6: Final answer
    x = 1,267.68

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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.