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Finding the Fourth Proportional to 2,568.32, 3,544 and 1,464.32

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Solution

The fourth proportional to 2,568.32, 3,544 and 1,464.32 is: 2,020.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.32 : 3,544 = 1,464.32 : x
  2. Step 2: Convert to fraction form
    2,568.32/3,544 = 1,464.32/x
  3. Step 3: Cross multiply
    2,568.32x = 3,544 × 1,464.32
  4. Step 4: Simplify right side
    2,568.32x = 5,189,550.08
  5. Step 5: Solve for x
    x = 5,189,550.08/2,568.32
  6. Step 6: Final answer
    x = 2,020.60

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Why These Related Problems?

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