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Finding the Fourth Proportional to 2,993.90, 4,130.70 and 1,874.88

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Solution

The fourth proportional to 2,993.90, 4,130.70 and 1,874.88 is: 2,586.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.90 : 4,130.70 = 1,874.88 : x
  2. Step 2: Convert to fraction form
    2,993.90/4,130.70 = 1,874.88/x
  3. Step 3: Cross multiply
    2,993.90x = 4,130.70 × 1,874.88
  4. Step 4: Simplify right side
    2,993.90x = 7,744,559.79
  5. Step 5: Solve for x
    x = 7,744,559.79/2,993.90
  6. Step 6: Final answer
    x = 2,586.78

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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.