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Finding the Fourth Proportional to 2,309.80, 3,465.95 and 1,076.91

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Solution

The fourth proportional to 2,309.80, 3,465.95 and 1,076.91 is: 1,615.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.80 : 3,465.95 = 1,076.91 : x
  2. Step 2: Convert to fraction form
    2,309.80/3,465.95 = 1,076.91/x
  3. Step 3: Cross multiply
    2,309.80x = 3,465.95 × 1,076.91
  4. Step 4: Simplify right side
    2,309.80x = 3,732,516.21
  5. Step 5: Solve for x
    x = 3,732,516.21/2,309.80
  6. Step 6: Final answer
    x = 1,615.95

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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.