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Finding the Fourth Proportional to 2,876.45, 3,972.87 and 2,303.55

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Solution

The fourth proportional to 2,876.45, 3,972.87 and 2,303.55 is: 3,181.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.45 : 3,972.87 = 2,303.55 : x
  2. Step 2: Convert to fraction form
    2,876.45/3,972.87 = 2,303.55/x
  3. Step 3: Cross multiply
    2,876.45x = 3,972.87 × 2,303.55
  4. Step 4: Simplify right side
    2,876.45x = 9,151,704.69
  5. Step 5: Solve for x
    x = 9,151,704.69/2,876.45
  6. Step 6: Final answer
    x = 3,181.60

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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.