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Finding the Fourth Proportional to 1,683.56, 2,318.82 and 1,462.76

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Solution

The fourth proportional to 1,683.56, 2,318.82 and 1,462.76 is: 2,014.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.56 : 2,318.82 = 1,462.76 : x
  2. Step 2: Convert to fraction form
    1,683.56/2,318.82 = 1,462.76/x
  3. Step 3: Cross multiply
    1,683.56x = 2,318.82 × 1,462.76
  4. Step 4: Simplify right side
    1,683.56x = 3,391,877.14
  5. Step 5: Solve for x
    x = 3,391,877.14/1,683.56
  6. Step 6: Final answer
    x = 2,014.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.