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Finding the Fourth Proportional to 3,006.63, 4,510.36 and 926.80

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Solution

The fourth proportional to 3,006.63, 4,510.36 and 926.80 is: 1,390.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.63 : 4,510.36 = 926.80 : x
  2. Step 2: Convert to fraction form
    3,006.63/4,510.36 = 926.80/x
  3. Step 3: Cross multiply
    3,006.63x = 4,510.36 × 926.80
  4. Step 4: Simplify right side
    3,006.63x = 4,180,191.53
  5. Step 5: Solve for x
    x = 4,180,191.53/3,006.63
  6. Step 6: Final answer
    x = 1,390.33

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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.