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Finding the Fourth Proportional to 3,478.46, 4,800.66 and 1,986.51

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Solution

The fourth proportional to 3,478.46, 4,800.66 and 1,986.51 is: 2,741.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.46 : 4,800.66 = 1,986.51 : x
  2. Step 2: Convert to fraction form
    3,478.46/4,800.66 = 1,986.51/x
  3. Step 3: Cross multiply
    3,478.46x = 4,800.66 × 1,986.51
  4. Step 4: Simplify right side
    3,478.46x = 9,536,569.65
  5. Step 5: Solve for x
    x = 9,536,569.65/3,478.46
  6. Step 6: Final answer
    x = 2,741.61

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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.