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Finding the Fourth Proportional to 1,683.05, 2,538.03 and 1,659.96

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Solution

The fourth proportional to 1,683.05, 2,538.03 and 1,659.96 is: 2,503.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.05 : 2,538.03 = 1,659.96 : x
  2. Step 2: Convert to fraction form
    1,683.05/2,538.03 = 1,659.96/x
  3. Step 3: Cross multiply
    1,683.05x = 2,538.03 × 1,659.96
  4. Step 4: Simplify right side
    1,683.05x = 4,213,034.50
  5. Step 5: Solve for x
    x = 4,213,034.50/1,683.05
  6. Step 6: Final answer
    x = 2,503.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.