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Finding the Fourth Proportional to 2,533.26, 3,801.84 and 1,758.70

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Solution

The fourth proportional to 2,533.26, 3,801.84 and 1,758.70 is: 2,639.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.26 : 3,801.84 = 1,758.70 : x
  2. Step 2: Convert to fraction form
    2,533.26/3,801.84 = 1,758.70/x
  3. Step 3: Cross multiply
    2,533.26x = 3,801.84 × 1,758.70
  4. Step 4: Simplify right side
    2,533.26x = 6,686,296.01
  5. Step 5: Solve for x
    x = 6,686,296.01/2,533.26
  6. Step 6: Final answer
    x = 2,639.40

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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.