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Finding the Fourth Proportional to 1,804.20, 2,487.07 and 1,410.54

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Solution

The fourth proportional to 1,804.20, 2,487.07 and 1,410.54 is: 1,944.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.20 : 2,487.07 = 1,410.54 : x
  2. Step 2: Convert to fraction form
    1,804.20/2,487.07 = 1,410.54/x
  3. Step 3: Cross multiply
    1,804.20x = 2,487.07 × 1,410.54
  4. Step 4: Simplify right side
    1,804.20x = 3,508,111.72
  5. Step 5: Solve for x
    x = 3,508,111.72/1,804.20
  6. Step 6: Final answer
    x = 1,944.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.