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Finding the Fourth Proportional to 2,330.14, 3,495.02 and 686.66

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Solution

The fourth proportional to 2,330.14, 3,495.02 and 686.66 is: 1,029.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.14 : 3,495.02 = 686.66 : x
  2. Step 2: Convert to fraction form
    2,330.14/3,495.02 = 686.66/x
  3. Step 3: Cross multiply
    2,330.14x = 3,495.02 × 686.66
  4. Step 4: Simplify right side
    2,330.14x = 2,399,890.43
  5. Step 5: Solve for x
    x = 2,399,890.43/2,330.14
  6. Step 6: Final answer
    x = 1,029.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.