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Finding the Fourth Proportional to 1,902.56, 2,623.20 and 1,378.40

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Solution

The fourth proportional to 1,902.56, 2,623.20 and 1,378.40 is: 1,900.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.56 : 2,623.20 = 1,378.40 : x
  2. Step 2: Convert to fraction form
    1,902.56/2,623.20 = 1,378.40/x
  3. Step 3: Cross multiply
    1,902.56x = 2,623.20 × 1,378.40
  4. Step 4: Simplify right side
    1,902.56x = 3,615,818.88
  5. Step 5: Solve for x
    x = 3,615,818.88/1,902.56
  6. Step 6: Final answer
    x = 1,900.50

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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.