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Finding the Fourth Proportional to 2,392.56, 3,584.99 and 1,570.21

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Solution

The fourth proportional to 2,392.56, 3,584.99 and 1,570.21 is: 2,352.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.56 : 3,584.99 = 1,570.21 : x
  2. Step 2: Convert to fraction form
    2,392.56/3,584.99 = 1,570.21/x
  3. Step 3: Cross multiply
    2,392.56x = 3,584.99 × 1,570.21
  4. Step 4: Simplify right side
    2,392.56x = 5,629,182.11
  5. Step 5: Solve for x
    x = 5,629,182.11/2,392.56
  6. Step 6: Final answer
    x = 2,352.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.