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Finding the Fourth Proportional to 2,583.34, 3,875.70 and 1,122.68

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Solution

The fourth proportional to 2,583.34, 3,875.70 and 1,122.68 is: 1,684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.34 : 3,875.70 = 1,122.68 : x
  2. Step 2: Convert to fraction form
    2,583.34/3,875.70 = 1,122.68/x
  3. Step 3: Cross multiply
    2,583.34x = 3,875.70 × 1,122.68
  4. Step 4: Simplify right side
    2,583.34x = 4,351,170.88
  5. Step 5: Solve for x
    x = 4,351,170.88/2,583.34
  6. Step 6: Final answer
    x = 1,684.32

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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.