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Finding the Fourth Proportional to 1,804.54, 2,487.54 and 1,410.88

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Solution

The fourth proportional to 1,804.54, 2,487.54 and 1,410.88 is: 1,944.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.54 : 2,487.54 = 1,410.88 : x
  2. Step 2: Convert to fraction form
    1,804.54/2,487.54 = 1,410.88/x
  3. Step 3: Cross multiply
    1,804.54x = 2,487.54 × 1,410.88
  4. Step 4: Simplify right side
    1,804.54x = 3,509,620.44
  5. Step 5: Solve for x
    x = 3,509,620.44/1,804.54
  6. Step 6: Final answer
    x = 1,944.88

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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.