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Finding the Fourth Proportional to 1,790.78, 2,471.18 and 1,004.81

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Solution

The fourth proportional to 1,790.78, 2,471.18 and 1,004.81 is: 1,386.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.78 : 2,471.18 = 1,004.81 : x
  2. Step 2: Convert to fraction form
    1,790.78/2,471.18 = 1,004.81/x
  3. Step 3: Cross multiply
    1,790.78x = 2,471.18 × 1,004.81
  4. Step 4: Simplify right side
    1,790.78x = 2,483,049.00
  5. Step 5: Solve for x
    x = 2,483,049.00/1,790.78
  6. Step 6: Final answer
    x = 1,386.58

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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.