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Finding the Fourth Proportional to 2,849.66, 4,271.64 and 1,366.14

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Solution

The fourth proportional to 2,849.66, 4,271.64 and 1,366.14 is: 2,047.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.66 : 4,271.64 = 1,366.14 : x
  2. Step 2: Convert to fraction form
    2,849.66/4,271.64 = 1,366.14/x
  3. Step 3: Cross multiply
    2,849.66x = 4,271.64 × 1,366.14
  4. Step 4: Simplify right side
    2,849.66x = 5,835,658.27
  5. Step 5: Solve for x
    x = 5,835,658.27/2,849.66
  6. Step 6: Final answer
    x = 2,047.85

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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.