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Finding the Fourth Proportional to 2,309.63, 3,464.82 and 1,139.69

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Solution

The fourth proportional to 2,309.63, 3,464.82 and 1,139.69 is: 1,709.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.63 : 3,464.82 = 1,139.69 : x
  2. Step 2: Convert to fraction form
    2,309.63/3,464.82 = 1,139.69/x
  3. Step 3: Cross multiply
    2,309.63x = 3,464.82 × 1,139.69
  4. Step 4: Simplify right side
    2,309.63x = 3,948,803.38
  5. Step 5: Solve for x
    x = 3,948,803.38/2,309.63
  6. Step 6: Final answer
    x = 1,709.72

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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.