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Finding the Fourth Proportional to 2,308.15, 3,460.33 and 920.89

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Solution

The fourth proportional to 2,308.15, 3,460.33 and 920.89 is: 1,380.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.15 : 3,460.33 = 920.89 : x
  2. Step 2: Convert to fraction form
    2,308.15/3,460.33 = 920.89/x
  3. Step 3: Cross multiply
    2,308.15x = 3,460.33 × 920.89
  4. Step 4: Simplify right side
    2,308.15x = 3,186,583.29
  5. Step 5: Solve for x
    x = 3,186,583.29/2,308.15
  6. Step 6: Final answer
    x = 1,380.58

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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.