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Finding the Fourth Proportional to 1,692.31, 2,538.24 and 718.65

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Solution

The fourth proportional to 1,692.31, 2,538.24 and 718.65 is: 1,077.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.31 : 2,538.24 = 718.65 : x
  2. Step 2: Convert to fraction form
    1,692.31/2,538.24 = 718.65/x
  3. Step 3: Cross multiply
    1,692.31x = 2,538.24 × 718.65
  4. Step 4: Simplify right side
    1,692.31x = 1,824,106.18
  5. Step 5: Solve for x
    x = 1,824,106.18/1,692.31
  6. Step 6: Final answer
    x = 1,077.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.