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Finding the Fourth Proportional to 2,580.86, 3,871.98 and 1,841.40

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Solution

The fourth proportional to 2,580.86, 3,871.98 and 1,841.40 is: 2,762.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.86 : 3,871.98 = 1,841.40 : x
  2. Step 2: Convert to fraction form
    2,580.86/3,871.98 = 1,841.40/x
  3. Step 3: Cross multiply
    2,580.86x = 3,871.98 × 1,841.40
  4. Step 4: Simplify right side
    2,580.86x = 7,129,863.97
  5. Step 5: Solve for x
    x = 7,129,863.97/2,580.86
  6. Step 6: Final answer
    x = 2,762.60

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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.