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Finding the Fourth Proportional to 2,077.07, 3,114.93 and 690.14

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Solution

The fourth proportional to 2,077.07, 3,114.93 and 690.14 is: 1,034.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.07 : 3,114.93 = 690.14 : x
  2. Step 2: Convert to fraction form
    2,077.07/3,114.93 = 690.14/x
  3. Step 3: Cross multiply
    2,077.07x = 3,114.93 × 690.14
  4. Step 4: Simplify right side
    2,077.07x = 2,149,737.79
  5. Step 5: Solve for x
    x = 2,149,737.79/2,077.07
  6. Step 6: Final answer
    x = 1,034.99

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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.