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Finding the Fourth Proportional to 2,330.09, 3,495.23 and 686.73

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Solution

The fourth proportional to 2,330.09, 3,495.23 and 686.73 is: 1,030.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.09 : 3,495.23 = 686.73 : x
  2. Step 2: Convert to fraction form
    2,330.09/3,495.23 = 686.73/x
  3. Step 3: Cross multiply
    2,330.09x = 3,495.23 × 686.73
  4. Step 4: Simplify right side
    2,330.09x = 2,400,279.30
  5. Step 5: Solve for x
    x = 2,400,279.30/2,330.09
  6. Step 6: Final answer
    x = 1,030.12

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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.