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Finding the Fourth Proportional to 1,807.49, 2,725.20 and 1,446.64

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Solution

The fourth proportional to 1,807.49, 2,725.20 and 1,446.64 is: 2,181.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.49 : 2,725.20 = 1,446.64 : x
  2. Step 2: Convert to fraction form
    1,807.49/2,725.20 = 1,446.64/x
  3. Step 3: Cross multiply
    1,807.49x = 2,725.20 × 1,446.64
  4. Step 4: Simplify right side
    1,807.49x = 3,942,376.52
  5. Step 5: Solve for x
    x = 3,942,376.52/1,807.49
  6. Step 6: Final answer
    x = 2,181.13

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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.