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Finding the Fourth Proportional to 2,980.35, 4,471.74 and 1,335.78

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Solution

The fourth proportional to 2,980.35, 4,471.74 and 1,335.78 is: 2,004.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.35 : 4,471.74 = 1,335.78 : x
  2. Step 2: Convert to fraction form
    2,980.35/4,471.74 = 1,335.78/x
  3. Step 3: Cross multiply
    2,980.35x = 4,471.74 × 1,335.78
  4. Step 4: Simplify right side
    2,980.35x = 5,973,260.86
  5. Step 5: Solve for x
    x = 5,973,260.86/2,980.35
  6. Step 6: Final answer
    x = 2,004.21

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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.