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Finding the Fourth Proportional to 2,178.69, 3,004.55 and 1,680.54

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Solution

The fourth proportional to 2,178.69, 3,004.55 and 1,680.54 is: 2,317.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.69 : 3,004.55 = 1,680.54 : x
  2. Step 2: Convert to fraction form
    2,178.69/3,004.55 = 1,680.54/x
  3. Step 3: Cross multiply
    2,178.69x = 3,004.55 × 1,680.54
  4. Step 4: Simplify right side
    2,178.69x = 5,049,266.46
  5. Step 5: Solve for x
    x = 5,049,266.46/2,178.69
  6. Step 6: Final answer
    x = 2,317.57

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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.