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Finding the Fourth Proportional to 1,645.36, 2,270.64 and 899.36

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Solution

The fourth proportional to 1,645.36, 2,270.64 and 899.36 is: 1,241.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.36 : 2,270.64 = 899.36 : x
  2. Step 2: Convert to fraction form
    1,645.36/2,270.64 = 899.36/x
  3. Step 3: Cross multiply
    1,645.36x = 2,270.64 × 899.36
  4. Step 4: Simplify right side
    1,645.36x = 2,042,122.79
  5. Step 5: Solve for x
    x = 2,042,122.79/1,645.36
  6. Step 6: Final answer
    x = 1,241.14

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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.