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Finding the Fourth Proportional to 1,645.93, 2,271.26 and 899.85

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Solution

The fourth proportional to 1,645.93, 2,271.26 and 899.85 is: 1,241.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.93 : 2,271.26 = 899.85 : x
  2. Step 2: Convert to fraction form
    1,645.93/2,271.26 = 899.85/x
  3. Step 3: Cross multiply
    1,645.93x = 2,271.26 × 899.85
  4. Step 4: Simplify right side
    1,645.93x = 2,043,777.46
  5. Step 5: Solve for x
    x = 2,043,777.46/1,645.93
  6. Step 6: Final answer
    x = 1,241.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.