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Finding the Fourth Proportional to 2,661.18, 3,985.29 and 2,583.42

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Solution

The fourth proportional to 2,661.18, 3,985.29 and 2,583.42 is: 3,868.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.18 : 3,985.29 = 2,583.42 : x
  2. Step 2: Convert to fraction form
    2,661.18/3,985.29 = 2,583.42/x
  3. Step 3: Cross multiply
    2,661.18x = 3,985.29 × 2,583.42
  4. Step 4: Simplify right side
    2,661.18x = 10,295,677.89
  5. Step 5: Solve for x
    x = 10,295,677.89/2,661.18
  6. Step 6: Final answer
    x = 3,868.84

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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.