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Finding the Fourth Proportional to 2,807.85, 3,874.46 and 1,688.79

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Solution

The fourth proportional to 2,807.85, 3,874.46 and 1,688.79 is: 2,330.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.85 : 3,874.46 = 1,688.79 : x
  2. Step 2: Convert to fraction form
    2,807.85/3,874.46 = 1,688.79/x
  3. Step 3: Cross multiply
    2,807.85x = 3,874.46 × 1,688.79
  4. Step 4: Simplify right side
    2,807.85x = 6,543,140.86
  5. Step 5: Solve for x
    x = 6,543,140.86/2,807.85
  6. Step 6: Final answer
    x = 2,330.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.