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Finding the Fourth Proportional to 2,910.74, 4,365.87 and 962.30

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Solution

The fourth proportional to 2,910.74, 4,365.87 and 962.30 is: 1,443.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910.74 : 4,365.87 = 962.30 : x
  2. Step 2: Convert to fraction form
    2,910.74/4,365.87 = 962.30/x
  3. Step 3: Cross multiply
    2,910.74x = 4,365.87 × 962.30
  4. Step 4: Simplify right side
    2,910.74x = 4,201,276.70
  5. Step 5: Solve for x
    x = 4,201,276.70/2,910.74
  6. Step 6: Final answer
    x = 1,443.37

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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.