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Finding the Fourth Proportional to 2,073.63, 3,109.80 and 686.66

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Solution

The fourth proportional to 2,073.63, 3,109.80 and 686.66 is: 1,029.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.63 : 3,109.80 = 686.66 : x
  2. Step 2: Convert to fraction form
    2,073.63/3,109.80 = 686.66/x
  3. Step 3: Cross multiply
    2,073.63x = 3,109.80 × 686.66
  4. Step 4: Simplify right side
    2,073.63x = 2,135,359.72
  5. Step 5: Solve for x
    x = 2,135,359.72/2,073.63
  6. Step 6: Final answer
    x = 1,029.77

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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.