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Finding the Fourth Proportional to 1,828.87, 2,506.91 and 1,804.26

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Solution

The fourth proportional to 1,828.87, 2,506.91 and 1,804.26 is: 2,473.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.87 : 2,506.91 = 1,804.26 : x
  2. Step 2: Convert to fraction form
    1,828.87/2,506.91 = 1,804.26/x
  3. Step 3: Cross multiply
    1,828.87x = 2,506.91 × 1,804.26
  4. Step 4: Simplify right side
    1,828.87x = 4,523,117.44
  5. Step 5: Solve for x
    x = 4,523,117.44/1,828.87
  6. Step 6: Final answer
    x = 2,473.18

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.