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Finding the Fourth Proportional to 1,790.46, 2,470.83 and 1,004.65

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Solution

The fourth proportional to 1,790.46, 2,470.83 and 1,004.65 is: 1,386.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.46 : 2,470.83 = 1,004.65 : x
  2. Step 2: Convert to fraction form
    1,790.46/2,470.83 = 1,004.65/x
  3. Step 3: Cross multiply
    1,790.46x = 2,470.83 × 1,004.65
  4. Step 4: Simplify right side
    1,790.46x = 2,482,319.36
  5. Step 5: Solve for x
    x = 2,482,319.36/1,790.46
  6. Step 6: Final answer
    x = 1,386.41

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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.