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Finding the Fourth Proportional to 2,760.09, 3,807.84 and 1,580.52

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Solution

The fourth proportional to 2,760.09, 3,807.84 and 1,580.52 is: 2,180.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.09 : 3,807.84 = 1,580.52 : x
  2. Step 2: Convert to fraction form
    2,760.09/3,807.84 = 1,580.52/x
  3. Step 3: Cross multiply
    2,760.09x = 3,807.84 × 1,580.52
  4. Step 4: Simplify right side
    2,760.09x = 6,018,367.28
  5. Step 5: Solve for x
    x = 6,018,367.28/2,760.09
  6. Step 6: Final answer
    x = 2,180.50

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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.