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Finding the Fourth Proportional to 2,980.74, 4,471.76 and 900.57

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Solution

The fourth proportional to 2,980.74, 4,471.76 and 900.57 is: 1,351.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.74 : 4,471.76 = 900.57 : x
  2. Step 2: Convert to fraction form
    2,980.74/4,471.76 = 900.57/x
  3. Step 3: Cross multiply
    2,980.74x = 4,471.76 × 900.57
  4. Step 4: Simplify right side
    2,980.74x = 4,027,128.40
  5. Step 5: Solve for x
    x = 4,027,128.40/2,980.74
  6. Step 6: Final answer
    x = 1,351.05

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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.