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Finding the Fourth Proportional to 2,809.88, 3,875.28 and 2,054.60

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Solution

The fourth proportional to 2,809.88, 3,875.28 and 2,054.60 is: 2,833.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.88 : 3,875.28 = 2,054.60 : x
  2. Step 2: Convert to fraction form
    2,809.88/3,875.28 = 2,054.60/x
  3. Step 3: Cross multiply
    2,809.88x = 3,875.28 × 2,054.60
  4. Step 4: Simplify right side
    2,809.88x = 7,962,150.29
  5. Step 5: Solve for x
    x = 7,962,150.29/2,809.88
  6. Step 6: Final answer
    x = 2,833.63

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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.