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Finding the Fourth Proportional to 2,077.05, 3,114.28 and 690.03

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Solution

The fourth proportional to 2,077.05, 3,114.28 and 690.03 is: 1,034.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.05 : 3,114.28 = 690.03 : x
  2. Step 2: Convert to fraction form
    2,077.05/3,114.28 = 690.03/x
  3. Step 3: Cross multiply
    2,077.05x = 3,114.28 × 690.03
  4. Step 4: Simplify right side
    2,077.05x = 2,148,938.73
  5. Step 5: Solve for x
    x = 2,148,938.73/2,077.05
  6. Step 6: Final answer
    x = 1,034.61

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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.