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Finding the Fourth Proportional to 1,683.57, 2,324.46 and 1,505.98

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Solution

The fourth proportional to 1,683.57, 2,324.46 and 1,505.98 is: 2,079.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.57 : 2,324.46 = 1,505.98 : x
  2. Step 2: Convert to fraction form
    1,683.57/2,324.46 = 1,505.98/x
  3. Step 3: Cross multiply
    1,683.57x = 2,324.46 × 1,505.98
  4. Step 4: Simplify right side
    1,683.57x = 3,500,590.27
  5. Step 5: Solve for x
    x = 3,500,590.27/1,683.57
  6. Step 6: Final answer
    x = 2,079.27

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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.