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Finding the Fourth Proportional to 2,885.63, 3,983.31 and 1,766.88

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Solution

The fourth proportional to 2,885.63, 3,983.31 and 1,766.88 is: 2,439.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.63 : 3,983.31 = 1,766.88 : x
  2. Step 2: Convert to fraction form
    2,885.63/3,983.31 = 1,766.88/x
  3. Step 3: Cross multiply
    2,885.63x = 3,983.31 × 1,766.88
  4. Step 4: Simplify right side
    2,885.63x = 7,038,030.77
  5. Step 5: Solve for x
    x = 7,038,030.77/2,885.63
  6. Step 6: Final answer
    x = 2,439.00

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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.