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Finding the Fourth Proportional to 2,583.98, 3,875.95 and 940.51

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Solution

The fourth proportional to 2,583.98, 3,875.95 and 940.51 is: 1,410.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.98 : 3,875.95 = 940.51 : x
  2. Step 2: Convert to fraction form
    2,583.98/3,875.95 = 940.51/x
  3. Step 3: Cross multiply
    2,583.98x = 3,875.95 × 940.51
  4. Step 4: Simplify right side
    2,583.98x = 3,645,369.73
  5. Step 5: Solve for x
    x = 3,645,369.73/2,583.98
  6. Step 6: Final answer
    x = 1,410.76

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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.