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Finding the Fourth Proportional to 2,657.45, 3,986.27 and 1,357.40

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Solution

The fourth proportional to 2,657.45, 3,986.27 and 1,357.40 is: 2,036.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.45 : 3,986.27 = 1,357.40 : x
  2. Step 2: Convert to fraction form
    2,657.45/3,986.27 = 1,357.40/x
  3. Step 3: Cross multiply
    2,657.45x = 3,986.27 × 1,357.40
  4. Step 4: Simplify right side
    2,657.45x = 5,410,936.18
  5. Step 5: Solve for x
    x = 5,410,936.18/2,657.45
  6. Step 6: Final answer
    x = 2,036.14

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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.