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Finding the Fourth Proportional to 2,980.62, 4,113.90 and 2,274.30

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Solution

The fourth proportional to 2,980.62, 4,113.90 and 2,274.30 is: 3,139.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.62 : 4,113.90 = 2,274.30 : x
  2. Step 2: Convert to fraction form
    2,980.62/4,113.90 = 2,274.30/x
  3. Step 3: Cross multiply
    2,980.62x = 4,113.90 × 2,274.30
  4. Step 4: Simplify right side
    2,980.62x = 9,356,242.77
  5. Step 5: Solve for x
    x = 9,356,242.77/2,980.62
  6. Step 6: Final answer
    x = 3,139.03

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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.