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Finding the Fourth Proportional to 2,185.94, 3,278.72 and 1,015.58

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Solution

The fourth proportional to 2,185.94, 3,278.72 and 1,015.58 is: 1,523.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.94 : 3,278.72 = 1,015.58 : x
  2. Step 2: Convert to fraction form
    2,185.94/3,278.72 = 1,015.58/x
  3. Step 3: Cross multiply
    2,185.94x = 3,278.72 × 1,015.58
  4. Step 4: Simplify right side
    2,185.94x = 3,329,802.46
  5. Step 5: Solve for x
    x = 3,329,802.46/2,185.94
  6. Step 6: Final answer
    x = 1,523.28

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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.