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Finding the Fourth Proportional to 2,077.17, 3,114.96 and 690.24

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Solution

The fourth proportional to 2,077.17, 3,114.96 and 690.24 is: 1,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.17 : 3,114.96 = 690.24 : x
  2. Step 2: Convert to fraction form
    2,077.17/3,114.96 = 690.24/x
  3. Step 3: Cross multiply
    2,077.17x = 3,114.96 × 690.24
  4. Step 4: Simplify right side
    2,077.17x = 2,150,069.99
  5. Step 5: Solve for x
    x = 2,150,069.99/2,077.17
  6. Step 6: Final answer
    x = 1,035.10

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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.