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Finding the Fourth Proportional to 2,007.49, 2,767.56 and 1,730.68

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Solution

The fourth proportional to 2,007.49, 2,767.56 and 1,730.68 is: 2,385.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.49 : 2,767.56 = 1,730.68 : x
  2. Step 2: Convert to fraction form
    2,007.49/2,767.56 = 1,730.68/x
  3. Step 3: Cross multiply
    2,007.49x = 2,767.56 × 1,730.68
  4. Step 4: Simplify right side
    2,007.49x = 4,789,760.74
  5. Step 5: Solve for x
    x = 4,789,760.74/2,007.49
  6. Step 6: Final answer
    x = 2,385.95

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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.