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Finding the Fourth Proportional to 1,664.82, 2,297.47 and 918.81

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Solution

The fourth proportional to 1,664.82, 2,297.47 and 918.81 is: 1,267.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.82 : 2,297.47 = 918.81 : x
  2. Step 2: Convert to fraction form
    1,664.82/2,297.47 = 918.81/x
  3. Step 3: Cross multiply
    1,664.82x = 2,297.47 × 918.81
  4. Step 4: Simplify right side
    1,664.82x = 2,110,938.41
  5. Step 5: Solve for x
    x = 2,110,938.41/1,664.82
  6. Step 6: Final answer
    x = 1,267.97

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1.5x scale

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.