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Finding the Fourth Proportional to 1,907.21, 2,624.00 and 1,682.16

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Solution

The fourth proportional to 1,907.21, 2,624.00 and 1,682.16 is: 2,314.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.21 : 2,624.00 = 1,682.16 : x
  2. Step 2: Convert to fraction form
    1,907.21/2,624.00 = 1,682.16/x
  3. Step 3: Cross multiply
    1,907.21x = 2,624.00 × 1,682.16
  4. Step 4: Simplify right side
    1,907.21x = 4,413,979.43
  5. Step 5: Solve for x
    x = 4,413,979.43/1,907.21
  6. Step 6: Final answer
    x = 2,314.37

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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.