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Finding the Fourth Proportional to 2,885.18, 3,981.63 and 1,766.10

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Solution

The fourth proportional to 2,885.18, 3,981.63 and 1,766.10 is: 2,437.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.18 : 3,981.63 = 1,766.10 : x
  2. Step 2: Convert to fraction form
    2,885.18/3,981.63 = 1,766.10/x
  3. Step 3: Cross multiply
    2,885.18x = 3,981.63 × 1,766.10
  4. Step 4: Simplify right side
    2,885.18x = 7,031,947.91
  5. Step 5: Solve for x
    x = 7,031,947.91/2,885.18
  6. Step 6: Final answer
    x = 2,437.26

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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.