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Finding the Fourth Proportional to 2,674.05, 3,688.96 and 1,730.15

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Solution

The fourth proportional to 2,674.05, 3,688.96 and 1,730.15 is: 2,386.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.05 : 3,688.96 = 1,730.15 : x
  2. Step 2: Convert to fraction form
    2,674.05/3,688.96 = 1,730.15/x
  3. Step 3: Cross multiply
    2,674.05x = 3,688.96 × 1,730.15
  4. Step 4: Simplify right side
    2,674.05x = 6,382,448.46
  5. Step 5: Solve for x
    x = 6,382,448.46/2,674.05
  6. Step 6: Final answer
    x = 2,386.81

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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.