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Finding the Fourth Proportional to 2,680.46, 3,699.40 and 1,501.78

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Solution

The fourth proportional to 2,680.46, 3,699.40 and 1,501.78 is: 2,072.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.46 : 3,699.40 = 1,501.78 : x
  2. Step 2: Convert to fraction form
    2,680.46/3,699.40 = 1,501.78/x
  3. Step 3: Cross multiply
    2,680.46x = 3,699.40 × 1,501.78
  4. Step 4: Simplify right side
    2,680.46x = 5,555,684.93
  5. Step 5: Solve for x
    x = 5,555,684.93/2,680.46
  6. Step 6: Final answer
    x = 2,072.66

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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.