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Finding the Fourth Proportional to 3,362.80, 4,640.65 and 1,870.86

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Solution

The fourth proportional to 3,362.80, 4,640.65 and 1,870.86 is: 2,581.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.80 : 4,640.65 = 1,870.86 : x
  2. Step 2: Convert to fraction form
    3,362.80/4,640.65 = 1,870.86/x
  3. Step 3: Cross multiply
    3,362.80x = 4,640.65 × 1,870.86
  4. Step 4: Simplify right side
    3,362.80x = 8,682,006.46
  5. Step 5: Solve for x
    x = 8,682,006.46/3,362.80
  6. Step 6: Final answer
    x = 2,581.78

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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.