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Finding the Fourth Proportional to 1,804.64, 2,490.72 and 1,722.56

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Solution

The fourth proportional to 1,804.64, 2,490.72 and 1,722.56 is: 2,377.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.64 : 2,490.72 = 1,722.56 : x
  2. Step 2: Convert to fraction form
    1,804.64/2,490.72 = 1,722.56/x
  3. Step 3: Cross multiply
    1,804.64x = 2,490.72 × 1,722.56
  4. Step 4: Simplify right side
    1,804.64x = 4,290,414.64
  5. Step 5: Solve for x
    x = 4,290,414.64/1,804.64
  6. Step 6: Final answer
    x = 2,377.44

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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.