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Finding the Fourth Proportional to 2,077.15, 3,114.90 and 690.10

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Solution

The fourth proportional to 2,077.15, 3,114.90 and 690.10 is: 1,034.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.15 : 3,114.90 = 690.10 : x
  2. Step 2: Convert to fraction form
    2,077.15/3,114.90 = 690.10/x
  3. Step 3: Cross multiply
    2,077.15x = 3,114.90 × 690.10
  4. Step 4: Simplify right side
    2,077.15x = 2,149,592.49
  5. Step 5: Solve for x
    x = 2,149,592.49/2,077.15
  6. Step 6: Final answer
    x = 1,034.88

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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.