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Finding the Fourth Proportional to 2,185.44, 3,278.76 and 953.13

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Solution

The fourth proportional to 2,185.44, 3,278.76 and 953.13 is: 1,429.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.44 : 3,278.76 = 953.13 : x
  2. Step 2: Convert to fraction form
    2,185.44/3,278.76 = 953.13/x
  3. Step 3: Cross multiply
    2,185.44x = 3,278.76 × 953.13
  4. Step 4: Simplify right side
    2,185.44x = 3,125,084.52
  5. Step 5: Solve for x
    x = 3,125,084.52/2,185.44
  6. Step 6: Final answer
    x = 1,429.96

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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.