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Finding the Fourth Proportional to 1,907.46, 2,633.56 and 1,464.56

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Solution

The fourth proportional to 1,907.46, 2,633.56 and 1,464.56 is: 2,022.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.46 : 2,633.56 = 1,464.56 : x
  2. Step 2: Convert to fraction form
    1,907.46/2,633.56 = 1,464.56/x
  3. Step 3: Cross multiply
    1,907.46x = 2,633.56 × 1,464.56
  4. Step 4: Simplify right side
    1,907.46x = 3,857,006.63
  5. Step 5: Solve for x
    x = 3,857,006.63/1,907.46
  6. Step 6: Final answer
    x = 2,022.06

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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.