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Finding the Fourth Proportional to 1,790.22, 2,470.23 and 1,004.10

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Solution

The fourth proportional to 1,790.22, 2,470.23 and 1,004.10 is: 1,385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.22 : 2,470.23 = 1,004.10 : x
  2. Step 2: Convert to fraction form
    1,790.22/2,470.23 = 1,004.10/x
  3. Step 3: Cross multiply
    1,790.22x = 2,470.23 × 1,004.10
  4. Step 4: Simplify right side
    1,790.22x = 2,480,357.94
  5. Step 5: Solve for x
    x = 2,480,357.94/1,790.22
  6. Step 6: Final answer
    x = 1,385.50

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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.