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Finding the Fourth Proportional to 2,885.76, 3,980.16 and 2,047.68

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Solution

The fourth proportional to 2,885.76, 3,980.16 and 2,047.68 is: 2,824.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.76 : 3,980.16 = 2,047.68 : x
  2. Step 2: Convert to fraction form
    2,885.76/3,980.16 = 2,047.68/x
  3. Step 3: Cross multiply
    2,885.76x = 3,980.16 × 2,047.68
  4. Step 4: Simplify right side
    2,885.76x = 8,150,094.03
  5. Step 5: Solve for x
    x = 8,150,094.03/2,885.76
  6. Step 6: Final answer
    x = 2,824.25

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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.