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Finding the Fourth Proportional to 2,069.48, 3,102.06 and 770.42

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Solution

The fourth proportional to 2,069.48, 3,102.06 and 770.42 is: 1,154.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.48 : 3,102.06 = 770.42 : x
  2. Step 2: Convert to fraction form
    2,069.48/3,102.06 = 770.42/x
  3. Step 3: Cross multiply
    2,069.48x = 3,102.06 × 770.42
  4. Step 4: Simplify right side
    2,069.48x = 2,389,889.07
  5. Step 5: Solve for x
    x = 2,389,889.07/2,069.48
  6. Step 6: Final answer
    x = 1,154.83

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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.