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Finding the Fourth Proportional to 3,101.97, 4,653.75 and 1,802.32

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Solution

The fourth proportional to 3,101.97, 4,653.75 and 1,802.32 is: 2,703.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.97 : 4,653.75 = 1,802.32 : x
  2. Step 2: Convert to fraction form
    3,101.97/4,653.75 = 1,802.32/x
  3. Step 3: Cross multiply
    3,101.97x = 4,653.75 × 1,802.32
  4. Step 4: Simplify right side
    3,101.97x = 8,387,546.70
  5. Step 5: Solve for x
    x = 8,387,546.70/3,101.97
  6. Step 6: Final answer
    x = 2,703.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.