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Finding the Fourth Proportional to 1,938.42, 2,660.81 and 1,763.46

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Solution

The fourth proportional to 1,938.42, 2,660.81 and 1,763.46 is: 2,420.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.42 : 2,660.81 = 1,763.46 : x
  2. Step 2: Convert to fraction form
    1,938.42/2,660.81 = 1,763.46/x
  3. Step 3: Cross multiply
    1,938.42x = 2,660.81 × 1,763.46
  4. Step 4: Simplify right side
    1,938.42x = 4,692,223.19
  5. Step 5: Solve for x
    x = 4,692,223.19/1,938.42
  6. Step 6: Final answer
    x = 2,420.64

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.