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Finding the Fourth Proportional to 4,491.77, 6,737.81 and 1,681.34

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Solution

The fourth proportional to 4,491.77, 6,737.81 and 1,681.34 is: 2,522.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.77 : 6,737.81 = 1,681.34 : x
  2. Step 2: Convert to fraction form
    4,491.77/6,737.81 = 1,681.34/x
  3. Step 3: Cross multiply
    4,491.77x = 6,737.81 × 1,681.34
  4. Step 4: Simplify right side
    4,491.77x = 11,328,507.37
  5. Step 5: Solve for x
    x = 11,328,507.37/4,491.77
  6. Step 6: Final answer
    x = 2,522.06

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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.