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Finding the Fourth Proportional to 2,107.53, 2,907.90 and 1,827.36

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Solution

The fourth proportional to 2,107.53, 2,907.90 and 1,827.36 is: 2,521.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.53 : 2,907.90 = 1,827.36 : x
  2. Step 2: Convert to fraction form
    2,107.53/2,907.90 = 1,827.36/x
  3. Step 3: Cross multiply
    2,107.53x = 2,907.90 × 1,827.36
  4. Step 4: Simplify right side
    2,107.53x = 5,313,780.14
  5. Step 5: Solve for x
    x = 5,313,780.14/2,107.53
  6. Step 6: Final answer
    x = 2,521.33

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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.