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Finding the Fourth Proportional to 1,683.83, 2,333.53 and 1,660.34

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Solution

The fourth proportional to 1,683.83, 2,333.53 and 1,660.34 is: 2,300.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.83 : 2,333.53 = 1,660.34 : x
  2. Step 2: Convert to fraction form
    1,683.83/2,333.53 = 1,660.34/x
  3. Step 3: Cross multiply
    1,683.83x = 2,333.53 × 1,660.34
  4. Step 4: Simplify right side
    1,683.83x = 3,874,437.38
  5. Step 5: Solve for x
    x = 3,874,437.38/1,683.83
  6. Step 6: Final answer
    x = 2,300.97

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.