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Finding the Fourth Proportional to 2,523.17, 3,807.51 and 2,431.64

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Solution

The fourth proportional to 2,523.17, 3,807.51 and 2,431.64 is: 3,669.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.17 : 3,807.51 = 2,431.64 : x
  2. Step 2: Convert to fraction form
    2,523.17/3,807.51 = 2,431.64/x
  3. Step 3: Cross multiply
    2,523.17x = 3,807.51 × 2,431.64
  4. Step 4: Simplify right side
    2,523.17x = 9,258,474.58
  5. Step 5: Solve for x
    x = 9,258,474.58/2,523.17
  6. Step 6: Final answer
    x = 3,669.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.