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Finding the Fourth Proportional to 1,811.16, 2,698.92 and 1,730.16

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Solution

The fourth proportional to 1,811.16, 2,698.92 and 1,730.16 is: 2,578.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.16 : 2,698.92 = 1,730.16 : x
  2. Step 2: Convert to fraction form
    1,811.16/2,698.92 = 1,730.16/x
  3. Step 3: Cross multiply
    1,811.16x = 2,698.92 × 1,730.16
  4. Step 4: Simplify right side
    1,811.16x = 4,669,563.43
  5. Step 5: Solve for x
    x = 4,669,563.43/1,811.16
  6. Step 6: Final answer
    x = 2,578.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.