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Finding the Fourth Proportional to 2,069.98, 3,103.22 and 899.10

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Solution

The fourth proportional to 2,069.98, 3,103.22 and 899.10 is: 1,347.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.98 : 3,103.22 = 899.10 : x
  2. Step 2: Convert to fraction form
    2,069.98/3,103.22 = 899.10/x
  3. Step 3: Cross multiply
    2,069.98x = 3,103.22 × 899.10
  4. Step 4: Simplify right side
    2,069.98x = 2,790,085.09
  5. Step 5: Solve for x
    x = 2,790,085.09/2,069.98
  6. Step 6: Final answer
    x = 1,347.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.