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Finding the Fourth Proportional to 1,790.00, 2,470.35 and 993.57

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Solution

The fourth proportional to 1,790.00, 2,470.35 and 993.57 is: 1,371.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.00 : 2,470.35 = 993.57 : x
  2. Step 2: Convert to fraction form
    1,790.00/2,470.35 = 993.57/x
  3. Step 3: Cross multiply
    1,790.00x = 2,470.35 × 993.57
  4. Step 4: Simplify right side
    1,790.00x = 2,454,465.65
  5. Step 5: Solve for x
    x = 2,454,465.65/1,790.00
  6. Step 6: Final answer
    x = 1,371.21

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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.