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Finding the Fourth Proportional to 2,807.54, 3,874.43 and 1,548.64

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Solution

The fourth proportional to 2,807.54, 3,874.43 and 1,548.64 is: 2,137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.54 : 3,874.43 = 1,548.64 : x
  2. Step 2: Convert to fraction form
    2,807.54/3,874.43 = 1,548.64/x
  3. Step 3: Cross multiply
    2,807.54x = 3,874.43 × 1,548.64
  4. Step 4: Simplify right side
    2,807.54x = 6,000,097.28
  5. Step 5: Solve for x
    x = 6,000,097.28/2,807.54
  6. Step 6: Final answer
    x = 2,137.14

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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.