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Finding the Fourth Proportional to 2,568.70, 3,546.84 and 1,574.50

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Solution

The fourth proportional to 2,568.70, 3,546.84 and 1,574.50 is: 2,174.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.70 : 3,546.84 = 1,574.50 : x
  2. Step 2: Convert to fraction form
    2,568.70/3,546.84 = 1,574.50/x
  3. Step 3: Cross multiply
    2,568.70x = 3,546.84 × 1,574.50
  4. Step 4: Simplify right side
    2,568.70x = 5,584,499.58
  5. Step 5: Solve for x
    x = 5,584,499.58/2,568.70
  6. Step 6: Final answer
    x = 2,174.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.