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Finding the Fourth Proportional to 1,790.45, 2,470.71 and 1,004.42

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Solution

The fourth proportional to 1,790.45, 2,470.71 and 1,004.42 is: 1,386.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.45 : 2,470.71 = 1,004.42 : x
  2. Step 2: Convert to fraction form
    1,790.45/2,470.71 = 1,004.42/x
  3. Step 3: Cross multiply
    1,790.45x = 2,470.71 × 1,004.42
  4. Step 4: Simplify right side
    1,790.45x = 2,481,630.54
  5. Step 5: Solve for x
    x = 2,481,630.54/1,790.45
  6. Step 6: Final answer
    x = 1,386.04

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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.