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Finding the Fourth Proportional to 2,392.16, 3,585.76 and 852

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Solution

The fourth proportional to 2,392.16, 3,585.76 and 852 is: 1,277.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.16 : 3,585.76 = 852 : x
  2. Step 2: Convert to fraction form
    2,392.16/3,585.76 = 852/x
  3. Step 3: Cross multiply
    2,392.16x = 3,585.76 × 852
  4. Step 4: Simplify right side
    2,392.16x = 3,055,067.52
  5. Step 5: Solve for x
    x = 3,055,067.52/2,392.16
  6. Step 6: Final answer
    x = 1,277.12

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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.