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Finding the Fourth Proportional to 2,714.10, 4,069.33 and 1,069.80

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Solution

The fourth proportional to 2,714.10, 4,069.33 and 1,069.80 is: 1,603.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.10 : 4,069.33 = 1,069.80 : x
  2. Step 2: Convert to fraction form
    2,714.10/4,069.33 = 1,069.80/x
  3. Step 3: Cross multiply
    2,714.10x = 4,069.33 × 1,069.80
  4. Step 4: Simplify right side
    2,714.10x = 4,353,363.89
  5. Step 5: Solve for x
    x = 4,353,363.89/2,714.10
  6. Step 6: Final answer
    x = 1,603.98

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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.