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Finding the Fourth Proportional to 2,692.19, 4,038.23 and 1,305.65

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Solution

The fourth proportional to 2,692.19, 4,038.23 and 1,305.65 is: 1,958.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.19 : 4,038.23 = 1,305.65 : x
  2. Step 2: Convert to fraction form
    2,692.19/4,038.23 = 1,305.65/x
  3. Step 3: Cross multiply
    2,692.19x = 4,038.23 × 1,305.65
  4. Step 4: Simplify right side
    2,692.19x = 5,272,528.36
  5. Step 5: Solve for x
    x = 5,272,528.36/2,692.19
  6. Step 6: Final answer
    x = 1,958.45

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