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Finding the Fourth Proportional to 3,072.63, 4,605.29 and 1,686.62

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Solution

The fourth proportional to 3,072.63, 4,605.29 and 1,686.62 is: 2,527.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.63 : 4,605.29 = 1,686.62 : x
  2. Step 2: Convert to fraction form
    3,072.63/4,605.29 = 1,686.62/x
  3. Step 3: Cross multiply
    3,072.63x = 4,605.29 × 1,686.62
  4. Step 4: Simplify right side
    3,072.63x = 7,767,355.41
  5. Step 5: Solve for x
    x = 7,767,355.41/3,072.63
  6. Step 6: Final answer
    x = 2,527.92

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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.