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Finding the Fourth Proportional to 1,645.90, 2,271.37 and 899.90

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Solution

The fourth proportional to 1,645.90, 2,271.37 and 899.90 is: 1,241.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.90 : 2,271.37 = 899.90 : x
  2. Step 2: Convert to fraction form
    1,645.90/2,271.37 = 899.90/x
  3. Step 3: Cross multiply
    1,645.90x = 2,271.37 × 899.90
  4. Step 4: Simplify right side
    1,645.90x = 2,044,005.86
  5. Step 5: Solve for x
    x = 2,044,005.86/1,645.90
  6. Step 6: Final answer
    x = 1,241.88

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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.