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Finding the Fourth Proportional to 3,124.80, 4,682.82 and 2,583.48

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Solution

The fourth proportional to 3,124.80, 4,682.82 and 2,583.48 is: 3,871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.80 : 4,682.82 = 2,583.48 : x
  2. Step 2: Convert to fraction form
    3,124.80/4,682.82 = 2,583.48/x
  3. Step 3: Cross multiply
    3,124.80x = 4,682.82 × 2,583.48
  4. Step 4: Simplify right side
    3,124.80x = 12,097,971.81
  5. Step 5: Solve for x
    x = 12,097,971.81/3,124.80
  6. Step 6: Final answer
    x = 3,871.60

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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.