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Finding the Fourth Proportional to 2,851.47, 3,935.16 and 1,592.64

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Solution

The fourth proportional to 2,851.47, 3,935.16 and 1,592.64 is: 2,197.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.47 : 3,935.16 = 1,592.64 : x
  2. Step 2: Convert to fraction form
    2,851.47/3,935.16 = 1,592.64/x
  3. Step 3: Cross multiply
    2,851.47x = 3,935.16 × 1,592.64
  4. Step 4: Simplify right side
    2,851.47x = 6,267,293.22
  5. Step 5: Solve for x
    x = 6,267,293.22/2,851.47
  6. Step 6: Final answer
    x = 2,197.92

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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.