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Finding the Fourth Proportional to 2,807.52, 3,874.40 and 1,548.62

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Solution

The fourth proportional to 2,807.52, 3,874.40 and 1,548.62 is: 2,137.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.52 : 3,874.40 = 1,548.62 : x
  2. Step 2: Convert to fraction form
    2,807.52/3,874.40 = 1,548.62/x
  3. Step 3: Cross multiply
    2,807.52x = 3,874.40 × 1,548.62
  4. Step 4: Simplify right side
    2,807.52x = 5,999,946.21
  5. Step 5: Solve for x
    x = 5,999,946.21/2,807.52
  6. Step 6: Final answer
    x = 2,137.10

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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.