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Finding the Fourth Proportional to 2,077.19, 3,114.25 and 689.72

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Solution

The fourth proportional to 2,077.19, 3,114.25 and 689.72 is: 1,034.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.19 : 3,114.25 = 689.72 : x
  2. Step 2: Convert to fraction form
    2,077.19/3,114.25 = 689.72/x
  3. Step 3: Cross multiply
    2,077.19x = 3,114.25 × 689.72
  4. Step 4: Simplify right side
    2,077.19x = 2,147,943.21
  5. Step 5: Solve for x
    x = 2,147,943.21/2,077.19
  6. Step 6: Final answer
    x = 1,034.06

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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.