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Finding the Fourth Proportional to 2,077.35, 3,115.69 and 690.70

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Solution

The fourth proportional to 2,077.35, 3,115.69 and 690.70 is: 1,035.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.35 : 3,115.69 = 690.70 : x
  2. Step 2: Convert to fraction form
    2,077.35/3,115.69 = 690.70/x
  3. Step 3: Cross multiply
    2,077.35x = 3,115.69 × 690.70
  4. Step 4: Simplify right side
    2,077.35x = 2,152,007.08
  5. Step 5: Solve for x
    x = 2,152,007.08/2,077.35
  6. Step 6: Final answer
    x = 1,035.94

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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.