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Finding the Fourth Proportional to 2,699.15, 4,049.30 and 1,529.70

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Solution

The fourth proportional to 2,699.15, 4,049.30 and 1,529.70 is: 2,294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.15 : 4,049.30 = 1,529.70 : x
  2. Step 2: Convert to fraction form
    2,699.15/4,049.30 = 1,529.70/x
  3. Step 3: Cross multiply
    2,699.15x = 4,049.30 × 1,529.70
  4. Step 4: Simplify right side
    2,699.15x = 6,194,214.21
  5. Step 5: Solve for x
    x = 6,194,214.21/2,699.15
  6. Step 6: Final answer
    x = 2,294.88

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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.