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Finding the Fourth Proportional to 1,907.79, 2,633.94 and 1,464.81

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Solution

The fourth proportional to 1,907.79, 2,633.94 and 1,464.81 is: 2,022.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.79 : 2,633.94 = 1,464.81 : x
  2. Step 2: Convert to fraction form
    1,907.79/2,633.94 = 1,464.81/x
  3. Step 3: Cross multiply
    1,907.79x = 2,633.94 × 1,464.81
  4. Step 4: Simplify right side
    1,907.79x = 3,858,221.65
  5. Step 5: Solve for x
    x = 3,858,221.65/1,907.79
  6. Step 6: Final answer
    x = 2,022.35

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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.