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Finding the Fourth Proportional to 2,670.45, 3,683.56 and 1,923.23

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Solution

The fourth proportional to 2,670.45, 3,683.56 and 1,923.23 is: 2,652.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.45 : 3,683.56 = 1,923.23 : x
  2. Step 2: Convert to fraction form
    2,670.45/3,683.56 = 1,923.23/x
  3. Step 3: Cross multiply
    2,670.45x = 3,683.56 × 1,923.23
  4. Step 4: Simplify right side
    2,670.45x = 7,084,333.10
  5. Step 5: Solve for x
    x = 7,084,333.10/2,670.45
  6. Step 6: Final answer
    x = 2,652.86

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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.