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Finding the Fourth Proportional to 2,800.77, 3,865.08 and 1,541.96

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Solution

The fourth proportional to 2,800.77, 3,865.08 and 1,541.96 is: 2,127.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.77 : 3,865.08 = 1,541.96 : x
  2. Step 2: Convert to fraction form
    2,800.77/3,865.08 = 1,541.96/x
  3. Step 3: Cross multiply
    2,800.77x = 3,865.08 × 1,541.96
  4. Step 4: Simplify right side
    2,800.77x = 5,959,779.43
  5. Step 5: Solve for x
    x = 5,959,779.43/2,800.77
  6. Step 6: Final answer
    x = 2,127.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.