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Finding the Fourth Proportional to 2,307, 3,459.76 and 920.72

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Solution

The fourth proportional to 2,307, 3,459.76 and 920.72 is: 1,380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307 : 3,459.76 = 920.72 : x
  2. Step 2: Convert to fraction form
    2,307/3,459.76 = 920.72/x
  3. Step 3: Cross multiply
    2,307x = 3,459.76 × 920.72
  4. Step 4: Simplify right side
    2,307x = 3,185,470.23
  5. Step 5: Solve for x
    x = 3,185,470.23/2,307
  6. Step 6: Final answer
    x = 1,380.78

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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.