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Finding the Fourth Proportional to 2,910.46, 4,365.61 and 719.14

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Solution

The fourth proportional to 2,910.46, 4,365.61 and 719.14 is: 1,078.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910.46 : 4,365.61 = 719.14 : x
  2. Step 2: Convert to fraction form
    2,910.46/4,365.61 = 719.14/x
  3. Step 3: Cross multiply
    2,910.46x = 4,365.61 × 719.14
  4. Step 4: Simplify right side
    2,910.46x = 3,139,484.78
  5. Step 5: Solve for x
    x = 3,139,484.78/2,910.46
  6. Step 6: Final answer
    x = 1,078.69

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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.