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Finding the Fourth Proportional to 2,692.16, 4,038.86 and 1,306.16

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Solution

The fourth proportional to 2,692.16, 4,038.86 and 1,306.16 is: 1,959.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.16 : 4,038.86 = 1,306.16 : x
  2. Step 2: Convert to fraction form
    2,692.16/4,038.86 = 1,306.16/x
  3. Step 3: Cross multiply
    2,692.16x = 4,038.86 × 1,306.16
  4. Step 4: Simplify right side
    2,692.16x = 5,275,397.38
  5. Step 5: Solve for x
    x = 5,275,397.38/2,692.16
  6. Step 6: Final answer
    x = 1,959.54

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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.