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Finding the Fourth Proportional to 2,674.02, 3,686.76 and 1,728.21

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Solution

The fourth proportional to 2,674.02, 3,686.76 and 1,728.21 is: 2,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.02 : 3,686.76 = 1,728.21 : x
  2. Step 2: Convert to fraction form
    2,674.02/3,686.76 = 1,728.21/x
  3. Step 3: Cross multiply
    2,674.02x = 3,686.76 × 1,728.21
  4. Step 4: Simplify right side
    2,674.02x = 6,371,495.50
  5. Step 5: Solve for x
    x = 6,371,495.50/2,674.02
  6. Step 6: Final answer
    x = 2,382.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.