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Finding the Fourth Proportional to 2,583.79, 3,876.72 and 940.45

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Solution

The fourth proportional to 2,583.79, 3,876.72 and 940.45 is: 1,411.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.79 : 3,876.72 = 940.45 : x
  2. Step 2: Convert to fraction form
    2,583.79/3,876.72 = 940.45/x
  3. Step 3: Cross multiply
    2,583.79x = 3,876.72 × 940.45
  4. Step 4: Simplify right side
    2,583.79x = 3,645,861.32
  5. Step 5: Solve for x
    x = 3,645,861.32/2,583.79
  6. Step 6: Final answer
    x = 1,411.05

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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.