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Finding the Fourth Proportional to 4,510.92, 6,765.68 and 1,737.74

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Solution

The fourth proportional to 4,510.92, 6,765.68 and 1,737.74 is: 2,606.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510.92 : 6,765.68 = 1,737.74 : x
  2. Step 2: Convert to fraction form
    4,510.92/6,765.68 = 1,737.74/x
  3. Step 3: Cross multiply
    4,510.92x = 6,765.68 × 1,737.74
  4. Step 4: Simplify right side
    4,510.92x = 11,756,992.76
  5. Step 5: Solve for x
    x = 11,756,992.76/4,510.92
  6. Step 6: Final answer
    x = 2,606.34

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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.