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Finding the Fourth Proportional to 2,069.18, 3,101.64 and 899.94

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Solution

The fourth proportional to 2,069.18, 3,101.64 and 899.94 is: 1,348.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.18 : 3,101.64 = 899.94 : x
  2. Step 2: Convert to fraction form
    2,069.18/3,101.64 = 899.94/x
  3. Step 3: Cross multiply
    2,069.18x = 3,101.64 × 899.94
  4. Step 4: Simplify right side
    2,069.18x = 2,791,289.90
  5. Step 5: Solve for x
    x = 2,791,289.90/2,069.18
  6. Step 6: Final answer
    x = 1,348.98

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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.