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Finding the Fourth Proportional to 2,594.80, 3,581.84 and 1,756

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Solution

The fourth proportional to 2,594.80, 3,581.84 and 1,756 is: 2,423.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.80 : 3,581.84 = 1,756 : x
  2. Step 2: Convert to fraction form
    2,594.80/3,581.84 = 1,756/x
  3. Step 3: Cross multiply
    2,594.80x = 3,581.84 × 1,756
  4. Step 4: Simplify right side
    2,594.80x = 6,289,711.04
  5. Step 5: Solve for x
    x = 6,289,711.04/2,594.80
  6. Step 6: Final answer
    x = 2,423.97

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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.