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Finding the Fourth Proportional to 2,583.67, 3,875.42 and 1,122.82

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Solution

The fourth proportional to 2,583.67, 3,875.42 and 1,122.82 is: 1,684.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.67 : 3,875.42 = 1,122.82 : x
  2. Step 2: Convert to fraction form
    2,583.67/3,875.42 = 1,122.82/x
  3. Step 3: Cross multiply
    2,583.67x = 3,875.42 × 1,122.82
  4. Step 4: Simplify right side
    2,583.67x = 4,351,411.00
  5. Step 5: Solve for x
    x = 4,351,411.00/2,583.67
  6. Step 6: Final answer
    x = 1,684.20

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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.