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Finding the Fourth Proportional to 2,069.70, 2,855.23 and 1,441.72

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Solution

The fourth proportional to 2,069.70, 2,855.23 and 1,441.72 is: 1,988.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.70 : 2,855.23 = 1,441.72 : x
  2. Step 2: Convert to fraction form
    2,069.70/2,855.23 = 1,441.72/x
  3. Step 3: Cross multiply
    2,069.70x = 2,855.23 × 1,441.72
  4. Step 4: Simplify right side
    2,069.70x = 4,116,442.20
  5. Step 5: Solve for x
    x = 4,116,442.20/2,069.70
  6. Step 6: Final answer
    x = 1,988.91

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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.