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Finding the Fourth Proportional to 1,335.40, 2,002.74 and 905.20

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Solution

The fourth proportional to 1,335.40, 2,002.74 and 905.20 is: 1,357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.40 : 2,002.74 = 905.20 : x
  2. Step 2: Convert to fraction form
    1,335.40/2,002.74 = 905.20/x
  3. Step 3: Cross multiply
    1,335.40x = 2,002.74 × 905.20
  4. Step 4: Simplify right side
    1,335.40x = 1,812,880.25
  5. Step 5: Solve for x
    x = 1,812,880.25/1,335.40
  6. Step 6: Final answer
    x = 1,357.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.