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Finding the Fourth Proportional to 3,072.80, 4,239.27 and 1,746.32

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Solution

The fourth proportional to 3,072.80, 4,239.27 and 1,746.32 is: 2,409.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.80 : 4,239.27 = 1,746.32 : x
  2. Step 2: Convert to fraction form
    3,072.80/4,239.27 = 1,746.32/x
  3. Step 3: Cross multiply
    3,072.80x = 4,239.27 × 1,746.32
  4. Step 4: Simplify right side
    3,072.80x = 7,403,121.99
  5. Step 5: Solve for x
    x = 7,403,121.99/3,072.80
  6. Step 6: Final answer
    x = 2,409.24

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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.