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Finding the Fourth Proportional to 2,678.46, 3,696.49 and 1,559.75

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Solution

The fourth proportional to 2,678.46, 3,696.49 and 1,559.75 is: 2,152.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.46 : 3,696.49 = 1,559.75 : x
  2. Step 2: Convert to fraction form
    2,678.46/3,696.49 = 1,559.75/x
  3. Step 3: Cross multiply
    2,678.46x = 3,696.49 × 1,559.75
  4. Step 4: Simplify right side
    2,678.46x = 5,765,592.48
  5. Step 5: Solve for x
    x = 5,765,592.48/2,678.46
  6. Step 6: Final answer
    x = 2,152.58

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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.